SOLUTION: Need help with this Problem... Thank You!! 23. At a quality control checkpoint on a manufacturing assembly line, 10% of the items failed check A, 12% failed check B, and 3% fa

Algebra ->  Probability-and-statistics -> SOLUTION: Need help with this Problem... Thank You!! 23. At a quality control checkpoint on a manufacturing assembly line, 10% of the items failed check A, 12% failed check B, and 3% fa      Log On


   



Question 432710: Need help with this Problem... Thank You!!
23. At a quality control checkpoint on a manufacturing
assembly line, 10% of the items failed check A, 12%
failed check B, and 3% failed both checks A and B.
a. If a product failed check A, what is the probability
that it also failed check B?
b. If a product failed check B, what is the probability
that it also failed check A?
c. What is the probability that a product failed either
check A or check B?
d. What is the probability that a product failed neither
check A nor check B?

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
Make a Venn diagram to understand this problem.
a)3/10
b)3/12=1/4
c).07+.03+.09=.19 A U B
d)1-.19=.81 (A U B)'
.
Ed