Deck 5: Reproductive Choices

Question 1

According to the IRS, 1.1% of tax returns will be audited next year. A random sample of 40 tax returns was selected. Use the Poisson distribution to approximate the binomial distribution to determine the probability that none of these tax returns will be audited.

A)0.6440
B)0.3264
C)0.4785
D)0.2870

Answer 1

0.6440

Question 2

The --------- of a discrete probability distribution measures the dispersion of each outcome of the random variable from the mean of the distribution.

A)standard deviation
B)expected value
C)range
D)median

Answer 2

standard deviation

Question 3

Dwight Howard plays center in the National Basketball Association and averaged 1.8 blocked shots per game during a recent season. Assume that the number of blocked shots per game follows the Poisson distribution. What is the probability that Dwight Howard will block two or three shots during the next game?

A)0.1863
B)0.4285
C)0.2595
D)0.3703

Answer 3

0.4285

Question 4

Which of the following is not a condition of a discrete probability distribution?

A)The sum of the probabilities for all the outcomes in the distribution needs to add up to 1.
B)The probability of a success must exceed the probability of a failure.
C)The probability of each outcome, P(x), must be between 0 and 1 (inclusive).
D)Each outcome in the distribution needs to be mutually exclusive with other outcomes in the distribution.

Question 5

According to the Mortgage Bankers Association, 11% of U.S. mortgages were delinquent last year. A delinquent mortgage is one that has missed at least one payment but has not yet gone to foreclosure. A random sample of eight mortgages was selected. What is the probability that one or more of these mortgages is delinquent?

A)0.1737
B)0.5632
C)0.2236
D)0.5030

Question 6

According to the Mortgage Bankers Association, 11% of U.S. mortgages were delinquent last year. A delinquent mortgage is one that has missed at least one payment but has not yet gone to foreclosure. A random sample of eight mortgages was selected. What is the probability that less than three of these mortgages are delinquent?

A)0.7044
B)0.9794
C)0.7525
D)0.8236

Question 7

According to LIMRA, 77% of husband-wife families with kids under 18 years old have life insurance. A random sample of six husband-wife families was selected. What is the probability that five or more families have life insurance?

A)0.3667
B)0.6621
C)0.4025
D)0.5820

Question 8

According to the Deloitte EV Survey, 5% of respondents indicated that they would be willing to pay an extra $500 or more for an electric vehicle versus one with a gasoline engine. A random sample of 25 adults has been selected. Use the Poisson distribution to approximate the binomial distribution to determine the probability that exactly one adult from this sample would be willing to pay an extra $500 or more for an electric vehicle versus one with a gasoline engine.

A)0.0689
B)0.4852
C)0.3581
D)0.1104

Question 9

A company that bakes chocolate chip cookies averages 5.2 chocolate chips per cookie. Assume that the number of chocolate chips per cookie follows the Poisson distribution. What is the probability that a randomly selected cookie will contain two or more chocolate chips?

A)0.4401
B)0.9658
C)0.3569
D)0.5469

Question 10

According to the Insurance Research Council, 14% of U.S. drivers are uninsured. A random sample of seven drivers was selected. What is the probability that three or more of these drivers are uninsured?

A)0.0620
B)0.1233
C)0.1518
D)0.0956

Question 11

A statistics class at Wilmington College has 25 students of which 15 are math majors and 10 are business majors. The professor randomly selects five students to work together on a group project. What is the probability that less than three of the students in this group are business majors?

A)0.2561
B)0.7582
C)0.6988
D)0.3447

Question 12

A statistics class at Wilmington College has 25 students of which 15 are math majors and 10 are business majors. The professor randomly selects five students to work together on a group project. What is the standard deviation of this probability distribution if selecting a business major is defined as a success?

A)1.507
B)0.255
C)0.850
D)1.000

Question 13

According to the National Health Interview Survey, 4.7% of U.S. adults 50 and older have had a total knee replacement. A random sample of 20 adults 50 and older has been selected. Use the Poisson distribution to approximate the binomial distribution to determine the probability that three or four adults from this sample have had a total knee replacement.

A)0.0668
B)0.4219
C)0.1145
D)0.2553

Question 14

The mean and the variance are equal for a ------- probability distribution.

A)normal
B)Poisson
C)binomial
D)uniform

Question 15

According to the Centers for Medicare & Medicaid Services, 21% of nursing homes in the United States received five stars in overall ratings on a scale of 1 to 5. A random sample of seven nursing homes was selected. What is the standard deviation of this distribution?

A)1.078
B)1.535
C)1.338
D)1.928

Question 16

According to the Centers for Medicare & Medicaid Services, 21% of nursing homes in the United States received five stars in overall ratings on a scale of 1 to 5. A random sample of seven nursing homes was selected. What is the probability that more than one of them received five stars?

A)0.0681
B)0.1165
C)0.4506
D)0.1717

Question 17

According to LIMRA, 77% of husband-wife families with kids under 18 years old have life insurance. A random sample of six husband-wife families was selected. What is the probability that exactly four families have life insurance?

A)0.3735
B)0.2789
C)0.4832
D)0.5215

Question 18

Assume that the number of pieces of junk mail per day that a person receives in their mail box follows the Poisson distribution and averages 4.3 pieces per day. What is the probability that this person will receive exactly four pieces of junk mail over the next two days?

A)0.1812
B)0.2355
C)0.2924
D)0.1271

Question 19

A camera manufacturer just shipped a batch of 36 digital cameras to local retailers and seven of the cameras have a defective sensor. Cutler Electronics received eight of these digital cameras. What is the standard deviation of this probability distribution?

A)1.001
B)1.764
C)0.420
D)2.293

Question 20

According to LIMRA, 77% of husband-wife families with kids under 18 years old have life insurance. A random sample of six husband-wife families was selected. What is the mean of this distribution?

A)4.62
B)5.86
C)5.28
D)3.50

Question 21

According to LIMRA, 77% of husband-wife families with kids under 18 years old have life insurance. A random sample of six husband-wife families was selected. What is the standard deviation of this distribution?

A)1.758
B)1.031
C)2.029
D)2.607

Question 22

A camera manufacturer just shipped a batch of 36 digital cameras to local retailers and seven of the cameras have a defective sensor. Cutler Electronics received eight of these digital cameras. What is the probability that three or four of the cameras shipped to Cutler are defective?

A)0.3417
B)0.2366
C)0.1649
D)0.4782

Question 23

Assume that the number of customers who arrive at a water ice stand follows the Poisson distribution with an average rate of 6.4 per 30 minutes. What is the probability that more than one customer will arrive during the next 30 minutes?

A)0.7524
B)0.9081
C)0.9877
D)0.7006

Question 24

According to the Mortgage Bankers Association, 11% of U.S. mortgages were delinquent last year. A delinquent mortgage is one that has missed at least one payment but has not yet gone to foreclosure. A random sample of eight mortgages was selected. What is the mean of this distribution?

A)0.74
B)0.66
C)0.31
D)0.93

Question 25

The data that results from a survey question that uses the Likert Scale is the measurement level.

A)ordinal
B)interval
C)ratio
D)nominal

Question 26

According to LIMRA, 77% of husband-wife families with kids under 18 years old have life insurance. A random sample of six husband-wife families was selected. What is the probability that less than two families have life insurance?

A)0.1864
B)0.0569
C)0.0029
D)0.1197

Question 27

According to the Mortgage Bankers Association, 11% of U.S. mortgages were delinquent last year. A delinquent mortgage is one that has missed at least one payment but has not yet gone to foreclosure. A random sample of eight mortgages was selected. What is the standard deviation of this distribution?

A)0.402
B)0.965
C)0.766
D)1.149

Question 28

According to the IRS, 1.1% of tax returns will be audited next year. A random sample of 40 tax returns was selected. Use the Poisson distribution to approximate the binomial distribution to determine the probability that more than two of these tax returns will be audited.

A)0.1215
B)0.2067
C)0.3366
D)0.0726

Question 29

Assume that the number of customers who arrive at a water ice stand follows the Poisson distribution with an average rate of 6.4 per 30 minutes. What is the probability that three or four customers will arrive during the next 30 minutes?

A)0.2365
B)0.2884
C)0.1888
D)0.3517

Question 30

According to the IRS, 1.1% of tax returns will be audited next year. A random sample of 40 tax returns was selected. Use the Poisson distribution to approximate the binomial distribution to determine the probability that two or three of these tax returns will be audited.

A)0.3457
B)0.1855
C)0.0714
D)0.2540

Question 31

According to the Insurance Research Council, 14% of U.S. drivers are uninsured. A random sample of seven drivers was selected. What is the probability that less than two of these drivers are uninsured?

A)0.7444
B)0.8226
C)0.8837
D)0.6820

Question 32

According to the Deloitte EV Survey, 5% of respondents indicated that they would be willing to pay an extra $500 or more for an electric vehicle versus one with a gasoline engine. A random sample of 25 adults has been selected. Use the Poisson distribution to approximate the binomial distribution to determine the probability that three or four adults from this sample would be willing to pay an extra $500 or more for an electric vehicle versus one with a gasoline engine.

A)0.0775
B)0.3452
C)0.1224
D)0.2965

Question 33

A statistics class at Wilmington College has 25 students of which 15 are math majors and 10 are business majors. The professor randomly selects five students to work together on a group project. What is the mean of this probability distribution if selecting a business major is defined as a success?

A)1.09
B)1.69
C)2.00
D)0.76

Question 34

A company that bakes chocolate chip cookies averages 5.2 chocolate chips per cookie. Assume that the number of chocolate chips per cookie follows the Poisson distribution. What is the probability that a randomly selected cookie will contain one or two chocolate chips?

A)0.0596
B)0.1697
C)0.1033
D)0.2020

Question 35

A company that bakes chocolate chip cookies averages 5.2 chocolate chips per cookie. Assume that the number of chocolate chips per cookie follows the Poisson distribution. What is the probability that a randomly selected cookie will contain exactly four chocolate chips?

A)0.3325
B)0.1681
C)0.2960
D)0.2254

Question 36

According to the Centers for Medicare & Medicaid Services, 21% of nursing homes in the United States received five stars in overall ratings on a scale of 1 to 5. A random sample of seven nursing homes was selected. What is the probability that exactly three of them received five stars?

A)0.0944
B)0.1263
C)0.0432
D)0.1527

Question 37

A camera manufacturer just shipped a batch of 36 digital cameras to local retailers and seven of the cameras have a defective sensor. Cutler Electronics received eight of these digital cameras. What is the mean of this probability distribution?

A)1.95
B)2.28
C)2.71
D)1.56

Question 38

Which of the following is not a characteristic of a binomial experiment?

A)The probability of a success must exceed the probability of a failure.
B)Each trial has only two possible outcomes-a success or a failure.
C)Each trial is independent of the other trials in the experiment.
D)The experiment consists of a fixed number of trials.

Question 39

Dwight Howard plays center in the National Basketball Association and averaged 1.8 blocked shots per game during a recent season. Assume that the number of blocked shots per game follows the Poisson distribution. What is the probability that Dwight Howard will block exactly two shots during the first half of the next game?

A)0.3427
B)0.1647
C)0.1169
D)0.2860

Question 40

A camera manufacturer just shipped a batch of 36 digital cameras to local retailers and seven of the cameras have a defective sensor. Cutler Electronics received eight of these digital cameras. What is the probability that more than one of the cameras shipped to Cutler are defective?

A)0.3050
B)0.6322
C)0.2456
D)0.4972

Question 41

According to the Centers for Medicare & Medicaid Services, 21% of nursing homes in the United States received five stars in overall ratings on a scale of 1 to 5. A random sample of seven nursing homes was selected. What is the mean of this distribution?

A)0.85
B)1.47
C)0.40
D)1.97

Question 42

According to the Mortgage Bankers Association, 11% of U.S. mortgages were delinquent last year. A delinquent mortgage is one that has missed at least one payment but has not yet gone to foreclosure. A random sample of eight mortgages was selected. What is the probability that exactly one of these mortgages is delinquent?

A)0.6260
B)0.4461
C)0.3685
D)0.3918

Question 43

According to the National Health Interview Survey, 4.7% of U.S. adults 50 and older have had a total knee replacement. A random sample of 20 adults 50 and older has been selected. Use the Poisson distribution to approximate the binomial distribution to determine the probability that three or more adults from this sample have had a total knee replacement.

A)0.2087
B)0.3319
C)0.1532
D)0.0696

Question 44

According to the Centers for Medicare & Medicaid Services, 21% of nursing homes in the United States received five stars in overall ratings on a scale of 1 to 5. A random sample of seven nursing homes was selected. What is the probability that two or three of them received five stars?

A)0.2226
B)0.4112
C)0.1457
D)0.2381

Question 45

Dwight Howard plays center in the National Basketball Association and averaged 1.8 blocked shots per game during a recent season. Assume that the number of blocked shots per game follows the Poisson distribution. What is the probability that Dwight Howard will block exactly one shots during the next game?

A)0.3960
B)0.4347
C)0.5236
D)0.2975

Question 46

Assume that the number of pieces of junk mail per day that a person receives in their mail box follows the Poisson distribution and averages 4.3 pieces per day. What is the probability that this person will receive one or two pieces of junk mail tomorrow?

A)0.2369
B)0.1838
C)0.1065
D)0.1227

Question 47

Dwight Howard plays center in the National Basketball Association and averaged 1.8 blocked shots per game during a recent season. Assume that the number of blocked shots per game follows the Poisson distribution. What is the probability that Dwight Howard will block more than one shot during the next game?

A)0.6411
B)0.5372
C)0.5180
D)0.7516

Question 48

According to the National Health Interview Survey, 4.7% of U.S. adults 50 and older have had a total knee replacement. A random sample of 20 adults 50 and older has been selected. Use the Poisson distribution to approximate the binomial distribution to determine the probability that no adults from this sample have had a total knee replacement.

A)0.1726
B)0.2365
C)0.3906
D)0.1004

Question 49

A statistics class at Wilmington College has 25 students of which 15 are math majors and 10 are business majors. The professor randomly selects five students to work together on a group project. What is the probability that none of the students in this group are business majors?

A)0.1007
B)0.0565
C)0.0230
D)0.1436

Question 50

Assume that the number of customers who arrive at a water ice stand follows the Poisson distribution with an average rate of 6.4 per 30 minutes. What is the probability that exactly five customers will arrive during the next 30 minutes?

A)0.0943
B)0.3070
C)0.1487
D)0.0215

Question 51

According to the Deloitte EV Survey, 5% of respondents indicated that they would be willing to pay an extra $500 or more for an electric vehicle versus one with a gasoline engine. A random sample of 25 adults has been selected. Use the Poisson distribution to approximate the binomial distribution to determine the probability that more than two adults from this sample would be willing to pay an extra $500 or more for an electric vehicle versus one with a gasoline engine.

A)0.2765
B)0.3890
C)0.0859
D)0.1316

Question 52

Which of the following is not a characteristic of a Poisson experiment?

A)The mean of the Poisson distribution has to be the same for each interval of measurement
B)The number of occurrences during one interval has to be dependent of the number of occurrences in any other interval.
C)The experiment consists of counting the number of occurrences of an event over a period of time, area, distance, or any other type of measurement.
D)The intervals that are defined in the Poisson process cannot be overlapping.

Question 53

When the discrete random variable is expressed in terms of dollars, the mean of the distribution is known as the ________ .

A)expected monetary value
B)average value of the distribution
C)expected value of the distribution
D)expected value of sample information

Question 54

Assume that the number of pieces of junk mail per day that a person receives in their mail box follows the Poisson distribution and averages 4.3 pieces per day. What is the probability that this person will receive more than two pieces of junk mail tomorrow?

A)0.8026
B)0.5062
C)0.6656
D)0.4298

Question 55

A statistics class at Wilmington College has 25 students of which 15 are math majors and 10 are business majors. The professor randomly selects five students to work together on a group project. What is the probability that three or four of the students in this group are business majors?

A)0.2965
B)0.4461
C)0.2154
D)0.1350

Question 56

According to the Insurance Research Council, 14% of U.S. drivers are uninsured. A random sample of seven drivers was selected. What is the probability that none of these drivers are uninsured?

A)0.1985
B)0.2981
C)0.3479
D)0.2366

Question 57

A ______ distribution is useful for calculating the probability that a certain number of events will occur over a specific interval of time or space.

A)normal
B)binomial
C)hypergeometric
D)Poisson

Question 58

According to the Insurance Research Council, 14% of U.S. drivers are uninsured. A random sample of seven drivers was selected. What is the mean of this distribution?

A)0.98
B)2.12
C)1.15
D)1.64

Question 59

Assume that the number of customers who arrive at a water ice stand follows the Poisson distribution with an average rate of 6.4 per 30 minutes. What is the probability that exactly two customers will arrive during the next 15 minutes?

A)0.4236
B)0.2087
C)0.0778
D)0.1510

Question 60

A camera manufacturer just shipped a batch of 36 digital cameras to local retailers and seven of the cameras have a defective sensor. Cutler Electronics received eight of these digital cameras. What is the probability that two of the cameras shipped to Cutler are defective?

A)0.2155
B)0.3297
C)0.0516
D)0.1374

Question 61

A listing of all the possible outcomes of an experiment for a discrete random variable along with the relative frequency of each outcome is called a discrete probability distribution.

Question 62

Because of the ambiguity of the intervals, technically, it's not proper to calculate the mean and standard deviation of ordinal data.

Question 63

In a binomial experiment, the number of successes can never exceed the number of trials.

Question 64

The number of successes in a binomial experiment must range from zero to n.

Question 65

An expected value is another term for the mean of a probability distribution.

Question 66

According to the Insurance Research Council, 14% of U.S. drivers are uninsured. A random sample of seven drivers was selected. What is the standard deviation of this distribution?

A)0.319
B)1.457
C)0.573
D)0.918

Question 67

The mean of a discrete probability distribution is the weighted average of the outcomes of the random variables that comprise it.

Question 68

Testing whether a part is defective or not defective after it has been manufactured would be best described using a binomial probability distribution.

Question 69

The number of occurrences in a Poisson distribution must range from zero to n.

Question 70

If you are counting the number of customers visiting your store on a given day, you are working with continuous data.

Question 71

The Poisson distribution can be used to approximate the binomial distribution when the number of trials is greater than 20 and the probability of success is less than or equal to 0.05.

Question 72

Assume that the number of pieces of junk mail per day that a person receives in their mail box follows the Poisson distribution and averages 4.3 pieces per day. What is the probability that this person will not receive any junk mail tomorrow?

A)0.1069
B)0.0136
C)0.0314
D)0.1360

Question 73

Rating the satisfaction of a hotel room on a 1-5 scale is an example of a discrete random variable.

Question 74

Observing whether a customer purchases or does not purchase an extended warranty for a new laptop would be best described using a uniform probability distribution.

Question 75

Discrete random variables have outcomes that typically take on whole numbers as a result of conducting an experiment.

Question 76

The hypergeometric distribution is used when samples are taken from an infinite population with replacement.

Question 77

The mean of the binomial distribution represents the long-term average number of successes to expect based on the number of trials conducted.

Question 78

The ounces of soda consumed by an adult next month are an example of a discrete random variable.

Question 79

An exponential probability distribution allows us to calculate the probability of a specific number of successes for a certain number of trials.

Question 80

The mean and standard deviation for discrete probability distributions are useful when comparing two different distributions.