A hospital receives two fifths of its flu vaccine from

Chapter 1, Problem 13E

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QUESTION:

PROBLEM 13E

A hospital receives two fifths of its flu vaccine from Company A and the remainder from Company B. Each shipment contains a large number of vials of vaccine. From Company A, 3% of the vials are ineffective; from Company B, 2% are ineffective. A hospital tests n = 25 randomly selected vials from one shipment and finds that 2 are ineffective. What is the conditional probability that this shipment came from Company A?

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QUESTION:

PROBLEM 13E

A hospital receives two fifths of its flu vaccine from Company A and the remainder from Company B. Each shipment contains a large number of vials of vaccine. From Company A, 3% of the vials are ineffective; from Company B, 2% are ineffective. A hospital tests n = 25 randomly selected vials from one shipment and finds that 2 are ineffective. What is the conditional probability that this shipment came from Company A?

ANSWER:

Step 1 of 5:

Given that a hospital receives two fifth of its vaccine from company and remaining from company B.

Therefore,P(A)=and P(B)=

3% of vials of company A are ineffective and 25 of vials of company B are ineffective.

The hospital found that out of n=25 randomly selected vials 2 are ineffective.

We have to find the conditional probability that this shipment is from company A.

That is we have to find P(shipment come from A| 2 vials are ineffective)


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