Question 1

Joe is considering pursuing an MBA degree.He has applied to two different universities.The acceptance rate for applicants with similar qualifications is 25% for University A and 40% for University B)Is the acceptance decision at University A independent of the acceptance decision at University B?

Accepted Answer

Yes,the two decisions are statistically independentIf the MBA acceptance decisions are independent at the two universities,thenP(Accepting at A)= P(Accepting at A given rejecting at B).

Question 2

Four employees who work as drive-through attendees at a local fast food restaurant are being evaluated.As a part of quality improvement initiative and employee evaluation these workers were observed over three days.One of the statistics collected is the proportion of time employee forgets to include a napkin in the bag.Related information is given in the table.  You just purchased a dinner and found that there is no napkin in your bag,what is the probability that Jan has prepared your order.

Accepted Answer

The answer of Four employees who work as drive-through attendees...

Question 3

A survey is made in a neighborhood of 80 voters.65 were Democrats and 15 were Republicans.Of the Democrats,35 are women,while 5 of the Republicans are women.If one subject from the group is randomly selected,find the probability: A Democrat or a Republican

Accepted Answer

The answer of A survey is made in a neighborhood...

Question 4

In a report on high school graduation,it was stated that 85% of high school students graduate.Suppose 3 high school students are randomly selected from different schools. What is the probability that none graduate?

Accepted Answer

(.15)(.15)(.15)= .003375

Question 5

In a report on high school graduation,it was stated that 85% of high school students graduate.Suppose 3 high school students are randomly selected from different schools. What is the probability that exactly one of the three graduates?

Accepted Answer

(.85)(.15)(.15)+ (.15)(.85)(.15)+ (.15)(.15)(.85)= .057375

Question 6

In a report on high school graduation,it was stated that 85% of high school students graduate.Suppose 3 high school students are randomly selected from different schools. What is the probability that all graduate?

Accepted Answer

(85)(.85)(.85)= 0.614

Question 7

Employees of a local university have been classified according to gender and job type.  Is gender and type of job statistically independent?

Accepted Answer

No,gender is not independent of type of job.Select a category of gender (male)and a category of job status (faculty),if the two are independent of each other,then:

Question 8

Employees of a local university have been classified according to gender and job type.  If an employee is selected at random what is the probability that the employee is a member of the faculty?

Accepted Answer

The answer of Employees of a local university have been...

Question 9

Owners are asked to evaluate their experiences in buying a new car during the past twelve months.When surveys were analyzed the owners indicated they were most satisfied with their experiences at the following three dealers (in no particular order): Saturn,Honda,and Buick. Assuming that each set of rankings is equally likely,what is the probability that
Owners ranked Saturn third?

Accepted Answer

There are 6 possible rankings of the three dealers. In one of these rankings, Saturn is ranked third. So, the probability that Saturn is ranked third is 1/6.

Question 10

Employees of a local university have been classified according to gender and job type.  Is gender and type of job mutually exclusive?

Accepted Answer

No,gender and job type is not mutually exclusive.

Question 11

Owners are asked to evaluate their experiences in buying a new car during the past twelve months.When surveys were analyzed the owners indicated they were most satisfied with their experiences at the following three dealers (in no particular order): Saturn,Honda,and Buick. When ranking the dealers how many outcomes are possible?

Accepted Answer

HSB,BHS,SHB,HBS,BSH,SBH

Question 12

Owners are asked to evaluate their experiences in buying a new car during the past twelve months.When surveys were analyzed the owners indicated they were most satisfied with their experiences at the following three dealers (in no particular order): Saturn,Honda,and Buick. Assuming that each set of rankings is equally likely,what is the probability that
Owners ranked Saturn first?

Accepted Answer

There are three dealers, and each has an equal chance of being ranked first. Therefore, the probability that Saturn is ranked first is 1 out of 3, or 1/3.

Question 13

Four employees who work as drive-through attendees at a local fast food restaurant are being evaluated.As a part of quality improvement initiative and employee evaluation these workers were observed over three days.One of the statistics collected is the proportion of time employee forgets to include a napkin in the bag.Related information is given in the table.  You just purchased a dinner and found that there is no napkin in your bag,what is the probability that Cheryl has prepared your order?

Accepted Answer

The answer of Four employees who work as drive-through attendees...

Question 14

A survey is made in a neighborhood of 80 voters.65 were Democrats and 15 were Republicans.Of the Democrats,35 are women,while 5 of the Republicans are women.If one subject from the group is randomly selected,find the probability: A male Republican

Accepted Answer

(10/80)= .125

Question 15

It is very common for television series to draw a large audience for special events of for cliff-hanging story lines.Suppose that on one of these occasions,the special show drew viewers from 38.2% of all US TV households.Suppose that three TV households are randomly selected. What is the probability that exactly one of the three households viewed the special show?

Accepted Answer

(.382)(.618)(.618)+ (.618)(.382)(.618)+ (.618)(.618)(.382)= .4376

Question 16

A survey is made in a neighborhood of 80 voters.65 were Democrats and 15 were Republicans.Of the Democrats,35 are women,while 5 of the Republicans are women.If one subject from the group is randomly selected,find the probability: The individual is either a woman or a Democrat.

Accepted Answer

We can use the formula for finding the probability of the union of two events:
P(A or B) = P(A) + P(B) - P(A and B)
where A and B are two events.

Let A be the event that the individual is a woman and B be the event that the individual is a Democrat. Then, we can find the probabilities as follows:

P(A) = Number of women / Total number of voters = 40 / 80 = 0.5
P(B) = Number of Democrats / Total number of voters = 65 / 80 = 0.8125
P(A and B) = Number of women who are Democrats / Total number of voters = 35 / 80 = 0.4375

Substituting these values in the formula, we get:

P(A or B) = 0.5 + 0.8125 - 0.4375
= 0.875

Therefore, the probability that the individual is either a woman or a Democrat is 0.875 or 87.5%. The best choice is (E).

Question 17

Four employees who work as drive-through attendees at a local fast food restaurant are being evaluated.As a part of quality improvement initiative and employee evaluation these workers were observed over three days.One of the statistics collected is the proportion of time employee forgets to include a napkin in the bag.Related information is given in the table.  What is the probability that there is not a napkin included for a given order?

Accepted Answer

P(No Napkin)= (.25)(.06)+ (.20)(.02)+ (0.20)(.10)+ (.35)(.04)= .053

Question 18

It is very common for television series to draw a large audience for special events of for cliff-hanging story lines.Suppose that on one of these occasions,the special show drew viewers from 38.2% of all US TV households.Suppose that three TV households are randomly selected. What is the probability that all three households viewed this special show?

Accepted Answer

(.382)(.382)(.382)= .05574

Question 19

Four employees who work as drive-through attendees at a local fast food restaurant are being evaluated.As a part of quality improvement initiative and employee evaluation these workers were observed over three days.One of the statistics collected is the proportion of time employee forgets to include a napkin in the bag.Related information is given in the table.  What is the probability that Cheryl prepared your dinner and forgot to include a napkin?

Accepted Answer

P(Cheryl Forgot napkin)= (.20)(.10)= 0.02

Question 20

It is very common for television series to draw a large audience for special events of for cliff-hanging story lines.Suppose that on one of these occasions,the special show drew viewers from 38.2% of all US TV households.Suppose that three TV households are randomly selected. What is the probability that none of the three households viewed this special show?

Accepted Answer

(.618)(.618)(.618)= .236

Quiz 4: Probability

Joe is considering pursuing an MBA degree.He has applied to two different universities.The acceptance rate for applicants with similar qualifications is 25% for University A and 40% for University B) Is the acceptance decision at University A independent of the acceptance decision at University B?

A survey is made in a neighborhood of 80 voters.65 were Democrats and 15 were Republicans.Of the Democrats,35 are women,while 5 of the Republicans are women.If one subject from the group is randomly selected,find the probability: A Democrat or a Republican

In a report on high school graduation,it was stated that 85% of high school students graduate.Suppose 3 high school students are randomly selected from different schools. What is the probability that none graduate?

In a report on high school graduation,it was stated that 85% of high school students graduate.Suppose 3 high school students are randomly selected from different schools. What is the probability that exactly one of the three graduates?

In a report on high school graduation,it was stated that 85% of high school students graduate.Suppose 3 high school students are randomly selected from different schools. What is the probability that all graduate?

Employees of a local university have been classified according to gender and job type. Is gender and type of job statistically independent?

Employees of a local university have been classified according to gender and job type. If an employee is selected at random what is the probability that the employee is a member of the faculty?

Employees of a local university have been classified according to gender and job type. Is gender and type of job mutually exclusive?

A survey is made in a neighborhood of 80 voters.65 were Democrats and 15 were Republicans.Of the Democrats,35 are women,while 5 of the Republicans are women.If one subject from the group is randomly selected,find the probability: A male Republican

A survey is made in a neighborhood of 80 voters.65 were Democrats and 15 were Republicans.Of the Democrats,35 are women,while 5 of the Republicans are women.If one subject from the group is randomly selected,find the probability: The individual is either a woman or a Democrat.