Solution Found!
Refer to Exercise 28. Assume that both inspectors inspect
Chapter 2, Problem 29E(choose chapter or problem)
Refer to Exercise 28. Assume that both inspectors inspect every item and that if an item has no flaw, then neither inspector will detect a flaw.
a. Assume that the probability that an item has a flaw is 0.10. If an item is passed by the first in-
spector, what is the probability that it actually has a flaw?
b. Assume that the probability that an item has a flaw is 0.10. If an item is passed by both inspectors, what is the probability that it actually has a flaw?
Questions & Answers
QUESTION:
Refer to Exercise 28. Assume that both inspectors inspect every item and that if an item has no flaw, then neither inspector will detect a flaw.
a. Assume that the probability that an item has a flaw is 0.10. If an item is passed by the first in-
spector, what is the probability that it actually has a flaw?
b. Assume that the probability that an item has a flaw is 0.10. If an item is passed by both inspectors, what is the probability that it actually has a flaw?
ANSWER:
Answer:
Step 1 of 3:
From the given data we have, the two inspectors inspect every item and that if an item has no flaw, then neither inspector will detect a flaw.
Let F denoted the event that an item has a flaw. Let A denote the event that a flaw is detected by the first inspector. Let B denote the event that a flaw is detected by the second inspector.
In exercise 28. We have the probabilities are,
.