What is the probability the selected item is from warehouse A? Suppose the item is defective. What is the probability it came from warehouse B?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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Q9) I need your help with the question attached. Please show the work done because I need to understand them. Thank you!

A company stores its product in two warehouses, A and B. It is observed that a
worker sent to get an item from a warehouse will go to A 60% of the time and go to B 40% of
the time. Suppose 5% of the items in A and 8% of the items in B are defective. A worker is sent
to get an item.
a) What is the probability the selected item is from warehouse A?
b) Suppose the item is defective. What is the probability it came from warehouse B?
9.
Transcribed Image Text:A company stores its product in two warehouses, A and B. It is observed that a worker sent to get an item from a warehouse will go to A 60% of the time and go to B 40% of the time. Suppose 5% of the items in A and 8% of the items in B are defective. A worker is sent to get an item. a) What is the probability the selected item is from warehouse A? b) Suppose the item is defective. What is the probability it came from warehouse B? 9.
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