In: Math
Question 1
Seven baseballs are randomly selected from the production line to
see if their stitching is straight. Over time, the company has
found that 89.4% of all their baseballs have straight stitching. If
exactly five of the seven have straight stitching, should the
company stop the production line?
Yes, the probability of five or less having straight
stitching is unusual
No, the probability of five or less having straight
stitching is not unusual
No, the probability of exactly five have straight
stitching is not unusual
Yes, the probability of exactly five having straight
stitching is unusual
Question 2
A soup company puts 12 ounces of soup in each can. The company
has determined that 97% of cans have the correct amount. Which of
the following describes a binomial experiment that would determine
the probability that a case of 36 cans has all cans that are
properly 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 to
fit into the next step of production. Can a binomial experiment be
used to determine the probability that the rods are the correct
width or an incorrect width?
No, as the probability of being about right could be
different for each rod selected
Yes, all production line quality questions are
answered with binomial experiments
No, as there are three possible outcomes, rather than
two 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. Employees
take pens as needed. The pens are returned once employees are done
with them. You are the 5th employee to take a pen. Is this a
binomial experiment?
No, binomial does not include systematic selection
such as “fifth”
No, the probability of getting the broken pen changes
as there is no replacement
Yes, you are finding the probability of exactly 5 not
being broken
Yes, with replacement, the probability of getting the
one that does not work is the same
Question 5
Sixty-eight 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?
Fewer than 8
Fewer than 9
Fewer than 11
Fewer than 10
Question 6
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?
8 employees
9 employees
10 employees
11 employees
Question 7
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?
0.862
0.148
0.100
0.852
Question 8
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?
0.975
0.916
0.768
0.037