Question 1
Seven baseballs are randomly selected from the production line tosee if their stitching is straight. Over time, the company hasfound that 89.4% of all their baseballs have straight stitching. Ifexactly five of the seven have straight stitching, should thecompany stop the production line?
Yes, the probability of five or less having straightstitching is unusual
No, the probability of five or less having straightstitching is not unusual
No, the probability of exactly five have straightstitching is not unusual
Yes, the probability of exactly five having straightstitching is unusual
Question 2
A soup company puts 12 ounces of soup in each can. The companyhas determined that 97% of cans have the correct amount. Which ofthe following describes a binomial experiment that would determinethe probability that a case of 36 cans has all cans that areproperly filled?
n=36, p=0.97, x=36
n=36, p=0.97, x=1
n=12, p=0.36, x=97
n=12, p=0.97, x=0
Question 3
A supplier must create metal rods that are 2.3 inches width tofit into the next step of production. Can a binomial experiment beused to determine the probability that the rods are the correctwidth or an incorrect width?
No, as the probability of being about right could bedifferent for each rod selected
Yes, all production line quality questions areanswered with binomial experiments
No, as there are three possible outcomes, rather thantwo possible outcomes
Yes, as each rod measured would have two outcomes:correct or incorrect
Question 4
In a box of 12 pens, there is one that does not work. Employeestake pens as needed. The pens are returned once employees are donewith them. You are the 5th employee to take a pen. Is this abinomial experiment?
No, binomial does not include systematic selectionsuch as “fifth”
No, the probability of getting the broken pen changesas there is no replacement
Yes, you are finding the probability of exactly 5 notbeing broken
Yes, with replacement, the probability of getting theone that does not work is the same
Question 5
Sixty-eight percent of products come off the line within productspecifications. Your quality control department selects 15 productsrandomly from the line each hour. Looking at the binomialdistribution, if fewer than how many are within specificationswould require that the production line be shut down (unusual) andrepaired?
Fewer than 8
Fewer than 9
Fewer than 11
Fewer than 10
Question 6
The probability of a potential employee passing a drug test is86%. If you selected 12 potential employees and gave them a drugtest, how many would you expect to pass the test?
8 employees
9 employees
10 employees
11 employees
Question 7
The probability of a potential employee passing a trainingcourse is 86%. If you selected 15 potential employees and gave themthe training course, what is the probability that 12 or less willpass the test?
0.862
0.148
0.100
0.852
Question 8
Off the production line, there is a 3.7% chance that a candle isdefective. If the company selected 45 candles off the line, what isthe probability that fewer than 3 would be defective?
0.975
0.916
0.768
0.037