A certain shop repairs both audio and video components. Let A denote the event that the next component brought in for repair is an audio component, and let B be the event that the next component is a compact disc player (so the event B is contained in A). Suppose that P (A) =.625 and P (B) =.05. What is P (B/A) ?

Question

Mathematics

Lindsay Hill

27 February, 14:23

A certain shop repairs both audio and video components. Let A denote the event that the next component brought in for repair is an audio component, and let B be the event that the next component is a compact disc player (so the event B is contained in A). Suppose that P (A) =.625 and P (B) =.05. What is P (B/A) ?

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Answers (1)

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Elise Boyd · Answer 1

Answer:P (A/B) = 0.08

Step-by-step explanation:

The probability formula to find p (A/B) is:

P (A/B) = p (A n B) / p (A)

Which means that B is contain in A and p (A n B) is p (B)

p (A n B) = p (B) = 0.05

p (A) = 0.625

Therefore

P (A/B) = p (A n B) / p (A) = p (B) / p (A)

P (A/B) = 0.05 / 0.625

P (A/B) = 0.08