Question 1

A new drug has been developed that is found to relieve nasal congestion in 90 percent of those
With the condition. The new drug is administered to 300 patients with the condition. What is the
Probability that more than 265 will be relieved of nasal congestion?
A) 0.0916
B) 0.1922
C) 0.8078
D) 0.3078

Accepted Answer

0.8078

Question 2

From past history, the scores on a statistics test are normally distributed with a mean of 70% and a
Standard deviation of 5%. To earn a "B" on the test, a student must be in the top 15% of the class.
What should a student score to receive a "B"?
A) 75.18
B) 75.49
C) 81.48
D) 76.90

Accepted Answer

75.18

Question 3

Tabulation of a strike vote showed that 90% of those voting cast their ballot in favour of strike
Action. You take a sample of 50 voters. Assume this to be a binomial distribution.
What is the probability that more than 45 of the voters from your sample voted in favour of strike
Action?
A) 0.50
B) 0.0948
C) 0.5948
D) 0.4052

Accepted Answer

0.4052

Question 4

For the standard normal distribution, what z-score corresponds with the 85% percentile?
A) 0.30
B) 2.05
C) 0.15
D) 1.04

Accepted Answer

1.04

Question 5

Management is considering adopting a bonus system to increase production. One suggestion is to
Pay a bonus on the highest 5 percent of production based on past experience. Past records
Indicate that, on the average, 4,000 units of a small assembly are produced during a week. The
Distribution of the weekly production is approximately normally distributed with a standard deviation
Of 60 units. If the bonus is paid on the upper 5 percent of production, the bonus will be paid on how
Many units or more?
A) 6,255
B) 5,120
C) 3,196
D) 4,099

Accepted Answer

4,099

Question 6

Bottomline Ink, a forms management company, ﬁlls 100 orders a day with a 2% error rate in the
Completed orders. Assume this to be a binomial distribution. What is the probability that there will
Be more than 5 order errors in a given day?
A) 0.0155
B) 0.4838
C) 0.9838
D) 2.1428

Accepted Answer

0.0155

Question 7

From past history, the scores on a statistics test are normally distributed with a mean of 70% and a
Standard deviation of 5%. To earn an "A" on the test, a student must be in the top 5% of the class.
What should a student score to receive an "A"?
A) 80.84
B) 75.49
C) 78.2
D) 76.90

Accepted Answer

78.2

Question 8

What is the value of the continuity correction factor?
A) 1.00
B) 0.50
C) 100
D) 1.96

Accepted Answer

0.50

Question 9

Past experience of a large manufacturing ﬁrm with administering a test to recent college graduates
Who had applied for a job revealed that the mean test score was 500, and the standard deviation
Was 50. The distribution of the test scores was normal. Based on this experience, management is
Considering placing a person whose score is in the upper 6 percent of the distribution directly into a
Responsible position. What is the lowest score a college graduate must earn to qualify for a
Responsible position?
A) 50
B) 625
C) 460
D) 578

Accepted Answer

578

Question 10

Bottomline Ink, a forms management company, ﬁlls 100 orders a day with a 2% error rate in the
Completed orders. Assume this to be a binomial distribution. What is the standard deviation for this
Distribution?
A) 0.02
B) 1.4
C) 2
D) There is no standard deviation for this type of distribution.

Accepted Answer

1.4

Question 11

Tabulation of a strike vote showed that 90% of those voting cast their ballot in favour of strike
Action. You take a sample of 50 voters. Assume this to be a binomial distribution.
What is the probability that fewer than 40 of your sample voters are in favour of strike action?
A) 0.2594
B) 0.4952
C) 0.0048
D) 0.0091

Accepted Answer

0.0048

Question 12

Tabulation of a strike vote showed that 90% of those voting cast their ballot in favour of strike
Action. You take a sample of 50 voters. Assume this to be a binomial distribution.
What is the mean for this distribution?
A) 450
B) 90
C) 45
D) There is no mean for this type of distribution

Accepted Answer

45

Question 13

A statistics student receives a grade of 85 on a statistics midterm. If the corresponding z-score
Equals +1.5 and the standard deviation equals 7, the average grade on this exam is _______.
A) 74.5
B) 75.4
C) 68.5
D) 76.9

Accepted Answer

74.5

Question 14

i. A continuity correction compensates for estimating a discrete distribution with a continuous
Distribution.
ii. The binomial can be used to approximate the normal distribution for small sized samples.
iii. The binomial may be used to approximate the normal distribution when the probability, p,
Remains the same from trial to trial.
A) (i), (ii), and (iii) are all correct statements.
B) (i) is a correct statement but not (ii) or (iii).
C) (i) and (iii) are correct statements but not (ii).
D) (i) and (ii) are correct statements but not (iii).
E) (i), (ii), and (iii) are all false statements.

Accepted Answer

(i) and (iii) are correct statements but (ii).

Question 15

From past history, the scores on a statistics test are normally distributed with a mean of 70% and a
Standard deviation of 5%. To earn a "C" on the test, a student must be in the top 25% of the class.
What should a student score to receive a "C"?
A) 77.21
B) 73.37
C) 73.96
D) 76.90

Accepted Answer

73.37

Question 16

An analysis of the grades on the ﬁrst test in History 101 revealed that they approximate a normal
Curve with a mean of 75 and a standard deviation of 8. The instructor wants to award the grade of A
To the upper 10 percent of the test grades. What is the dividing point between an A and a B grade?
A) 80
B) 85
C) 90
D) 95

Accepted Answer

85

Question 17

i. A continuity correction compensates for estimating a discrete distribution with a continuous
Distribution.
ii. The normal probability distribution is generally deemed a good approximation for the binomial
Probability distribution when np and n(1 - p) are both greater than ﬁve.
iii. When a continuity correction factor is used, its value is 1.
A) (i), (ii), and (iii) are all correct statements.
B) (i) is a correct statement but not (ii) or (iii).
C) (i) and (iii) are correct statements but not (ii).
D) (i) and (ii) are correct statements but not (iii).
E) (i), (ii), and (iii) are all false statements.

Accepted Answer

(i) and (ii) are correct statements but (iii).

Question 18

Bottomline Ink, a forms management company, ﬁlls 100 orders a day with a 2% error rate in the
Completed orders. Assume this to be a binomial distribution. What is the mean for this distribution?
A) 0.02
B) 1.4
C) 2
D) There is no mean for this type of distribution.

Accepted Answer

2

Question 19

Tabulation of a strike vote showed that 90% of those voting cast their ballot in favour of strike
Action. You take a sample of 50 voters. Assume this to be a binomial distribution.
What is the standard deviation for this distribution?
A) 45
B) 4.5
C) 2.12
D) 20.25

Accepted Answer

2.12

Question 20

i. A continuity correction compensates for estimating a discrete distribution with a continuous
Distribution.
ii. The normal probability distribution is generally deemed a good approximation for the binomial
Probability distribution when np and n(1 - p) are both greater than ﬁve.
iii. When a continuity correction factor is used, its value is 0.5.
A) (i), (ii), and (iii) are all correct statements.
B) (i) is a correct statement but not (ii) or (iii).
C) (i) and (iii) are correct statements but not (ii).
D) (i) and (ii) are correct statements but not (iii).
E) (i), (ii), and (iii) are all false statements.

Accepted Answer

(i), (ii), and (iii) are all correct statements.

Quiz 6: Discrete Probability Distributions

A new drug has been developed that is found to relieve nasal congestion in 90 percent of those With the condition. The new drug is administered to 300 patients with the condition. What is the Probability that more than 265 will be relieved of nasal congestion?

From past history, the scores on a statistics test are normally distributed with a mean of 70% and a Standard deviation of 5%. To earn a "B" on the test, a student must be in the top 15% of the class. What should a student score to receive a "B"?

Tabulation of a strike vote showed that 90% of those voting cast their ballot in favour of strike Action. You take a sample of 50 voters. Assume this to be a binomial distribution. What is the probability that more than 45 of the voters from your sample voted in favour of strike Action?

For the standard normal distribution, what z-score corresponds with the 85% percentile?

Bottomline Ink, a forms management company, ﬁlls 100 orders a day with a 2% error rate in the Completed orders. Assume this to be a binomial distribution. What is the probability that there will Be more than 5 order errors in a given day?

From past history, the scores on a statistics test are normally distributed with a mean of 70% and a Standard deviation of 5%. To earn an "A" on the test, a student must be in the top 5% of the class. What should a student score to receive an "A"?

What is the value of the continuity correction factor?

Bottomline Ink, a forms management company, ﬁlls 100 orders a day with a 2% error rate in the Completed orders. Assume this to be a binomial distribution. What is the standard deviation for this Distribution?

Tabulation of a strike vote showed that 90% of those voting cast their ballot in favour of strike Action. You take a sample of 50 voters. Assume this to be a binomial distribution. What is the probability that fewer than 40 of your sample voters are in favour of strike action?

Tabulation of a strike vote showed that 90% of those voting cast their ballot in favour of strike Action. You take a sample of 50 voters. Assume this to be a binomial distribution. What is the mean for this distribution?

A statistics student receives a grade of 85 on a statistics midterm. If the corresponding z-score Equals +1.5 and the standard deviation equals 7, the average grade on this exam is _______.

From past history, the scores on a statistics test are normally distributed with a mean of 70% and a Standard deviation of 5%. To earn a "C" on the test, a student must be in the top 25% of the class. What should a student score to receive a "C"?

An analysis of the grades on the ﬁrst test in History 101 revealed that they approximate a normal Curve with a mean of 75 and a standard deviation of 8. The instructor wants to award the grade of A To the upper 10 percent of the test grades. What is the dividing point between an A and a B grade?

Bottomline Ink, a forms management company, ﬁlls 100 orders a day with a 2% error rate in the Completed orders. Assume this to be a binomial distribution. What is the mean for this distribution?

Tabulation of a strike vote showed that 90% of those voting cast their ballot in favour of strike Action. You take a sample of 50 voters. Assume this to be a binomial distribution. What is the standard deviation for this distribution?