Assume that you want to investigate the effects of TV commercials on a product. From the...

Assume that you want to investigate the effects of TV commercials on a product. From the questionnaire survey so far, we know the followings.

1. The probability that a purchaser of the product has watched the TV commercial is A.

2. The probability that a non-purchaser of the product has watched the TV commercial is B.

3. The probability that a customer buys the product is 0.1.

Let A = 0.6 and B = 0.2.

Question: What is the probability that a customer who has watched the TV commercial buys the product? ( Answer in the decimal form, not the fractional form.)

Solutions

Expert Solution

W : Event of watching the TV commercial

X : Event of Customer Buys the product

: Event of Customer does not buys the product

Probability that a purchaser of the product has watched the TV commercial : P(W|X) = A = 0.6

Probability that a non-purchaser of the product has watched the TV commercial : P(W|) = B =0.2

Probability that a customer buys the product : P(X) = 0.1

Probability that a customer does not buy the product : P() = 1-0.1 =0.9

Probability that a customer who has watched the TV commercial buys the product = P(X|W)

By Bayes Theorem,

Probability that a customer who has watched the TV commercial buys the product = 0.25

orchestra answered 1 year ago

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