Question 11Say a business found that 29.5% of customers in Washington prefer grey suits. The company

chooses 8 customers in Washington and asks them if they prefer grey suits. What assumption must be made for this study to follow the probabilities of a binomial experiment?

A)That those selected have similar characteristics to those in the original study

B)That the probability of preferring grey suites is the same as preferring suits of other colors

C)That there is a 29.3% probability of being a selected customer

D)That the probability of being a selected customer is the same for all 8 people

Question 12

Eleven baseballs are randomly selected from the production line to see if their stitching is straight. Over time, the company has found that 98.3% of all their baseballs have straight stitching. If exactly nine of the eleven have straight stitching, should the company stop the production line?

A)No, the probability of nine or more having straight stitching is not unusual

B)No, the probability of exactly nine have straight stitching is not unusual

C)Yes, the probability of exactly nine having straight stitching is unusual

D)Yes, the probability of nine or less having straight stitching is unusual

Question 13

A bottling company puts 16 ounces of water bottle in each bottle. The company has determined that 94% of bottles have the correct amount. Which of the following describes a binomial experiment that would determine the probability that a case of 12 cans has all cans that are properly filled?

A)n=16, p=0.94, x=12

B)n=12, p=0.94, x=12

C)n=12, p=0.16, x=1

D)n=12, p=0.98, x=97

Question 14

A supplier must create metal rods that are 18.1 inches long to fit into the next step of production. Can a binomial experiment be used to determine the probability that the rods are correct length or an incorrect length?

A)No, as there are three possible outcomes, rather than two possible outcomes

B)Yes, as each rod measured would have two outcomes: correct or incorrect

C)No, as the probability of being about right could be different for each rod selected

D)Yes, all production line quality questions are answered with binomial experiments

Question 15

In a box of 12 tape measures, there is one that does not work. Employees take a tape measure as needed. The tape measures are not returned, once taken. You are the 8th employee to take a tape measure. Is this a binomial experiment?

A)Yes, the probability of success is one out of 12 with 8 selected

B)No, binomial does not include systematic selection such as “eighth”

C)Yes, you are finding the probability of exactly 5 not being broken

D)No, the probability of getting the broken tape measure changes as there is no replacement

Question 16

Eighty-two percent of employees make judgements about their co-workers based on the cleanliness of their desk. You randomly select 7 employees and ask them if they judge co-workers based on this criterion. The random variable is the number of employees who judge their co-workers by cleanliness. Which outcomes of this binomial distribution would be considered unusual?

A)0, 1, 2, 7

B)1, 2, 3

C)0, 1, 2, 3

D)1, 2, 3, 4

Question 17

Eighty-one percent of products come off the line within product specifications. Your quality control department selects 15 products randomly from the line each hour. Looking at the binomial distribution, if fewer than how many are within specifications would require that the production line be shut down (unusual) and repaired?

A)Fewer than 12

B)Fewer than 9

C)Fewer than 10

D)Fewer than 11

Question 18

The probability of a potential employee passing a drug test is 86%. If you selected 12 potential employees and gave them a drug test, how many would you expect to pass the test?

A)10 employees

B)9 employees

C)8 employees

D)11 employees

Question 19

The probability of a potential employee passing a training course is 86%. If you selected 15 potential employees and gave them the training course, what is the probability that 12 or less will pass the test?

A)0.100

B)0.148

C)0.852

D)0.862

Question 20

Off the production line, there is a 3.7% chance that a candle is defective. If the company selected 45 candles off the line, what is the probability that fewer than 3 would be defective?

A)0.916

B)0.768

C)0.975

D)0.037

 

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