Question 6

There are 16 bags of apples for sale. 3 of the bags have bruised apples in them. You are in a hurry and select 2 bags at random without checking for bruises. What is the probability that the first one you picked at random was bruised, but the 2nd you picked was OK?

0.1523

0.375

0.1733

0.1625

Question 7

56 circuit boards are assembled and tested. 13 fail the test. What is the first pass yield for the process?

93.75%

23.2%

76.8%

6.25%

Question 8

A process consists of 3 steps. The first pass yields for each step are as shown in the table

Step	A	B	C
FPY	90%	97%	85%

What is the rolled through-put yield for the sequence?

74.2%

72.0%

85%

15%

Question 9

The label on the cereal box indicates that the box contains 16 oz. of cereal. As all processes have variation, not all boxes contain exactly 16 oz. At a certain manufacturer, 6% of boxes actually contain slightly less than 16 oz (under filled). If 3 boxes are randomly selected from the process, what is the probability that none of the boxes will be under filled?

0.94

1-(0.94)x(0.94)x(0.94)

(0.94)x(0.94)x(0.94)

1-(0.06)x(0.06)x(0.06)

Question 10

The probability that an electronic component will fail a functional test is 3%. If 15 components are randomly selected from the process, what is the probability that at least 1 will fail?

1-(0.97)¹⁵

(0.97)¹⁵

(0.03) x (0.97)¹⁴

1-(.05)¹⁵