In the town of Maplewood a certain type of DVD player is sold at just two stores, 43% of the sales 13) are from store A and 57% of the sales

Question

In the town of Maplewood a certain type of DVD player is sold at just two stores, 43% of the sales 13) are from store A and 57% of the sales are from store B. 2.4% of the DVD players sold at store A are defective while 4.0% of the DVD players sold at store B are defective. If Kate receives one of these DVD players as a gift and finds that it is defective, what is the probability that it came from store A?
A) 0.312
B) 0.453
C) 0.688
D) 0.024

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Elliana 2 weeks 2021-11-23T13:16:54+00:00 1 Answer 0

Answers ( )

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    2021-11-23T13:18:43+00:00

    Answer:

    Option A 0.312 is right

    Step-by-step explanation:

    Given that iN Maplewood a certain type of DVD player is sold at just two stores, 43% of the sales 13) are from store A and 57% of the sales are from store B. 2.4% of the DVD players sold at store A are defective while 4.0% of the DVD players sold at store B are defective.

    Prob for any random item form store to be defective = Prob from A and defective +Prob from B and defective

    =0.43(0.024)+0.57(0.04)\\=0.03312

    Prob it came from A and defective = 0.0.43(0.024)=0.01032

    If Kate receives one of these DVD players as a gift and finds that it is defective, what is the probability that it came from store A

    =\frac{0.01032}{0.03312} \\=0.312

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