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Two local factories, A and B, produce radios. Each radio
Chapter 3, Problem 25STE(choose chapter or problem)
Problem 25STE
Two local factories, A and B, produce radios. Each radio produced at factory A is defective with probability .05, whereas each one produced at factory B is defective with probability .01. Suppose you purchase two radios that were produced at the same factory, which is equally likely to have been either factory A or factory B. If the first radio that you check is defective, what is the conditional probability that the other one is also defective?
Questions & Answers
QUESTION:
Problem 25STE
Two local factories, A and B, produce radios. Each radio produced at factory A is defective with probability .05, whereas each one produced at factory B is defective with probability .01. Suppose you purchase two radios that were produced at the same factory, which is equally likely to have been either factory A or factory B. If the first radio that you check is defective, what is the conditional probability that the other one is also defective?
ANSWER:
Step 1 of 2
Let us consider two events, they are:
A = The factory that produced number of defective radio’s, and
B = The factory that produced number of defective radio’s.
Also, we have P(Defective|produced A) = 0.05, P(Defective|produced B) = 0.01,
P(A produced) = and P(B produced) =
We need to find the conditional probability that the other one is also defective.