A sales representative in the music section of Best Buy notes that 15 percent of her customers buy "The Best of Norah Jones' and 'Classical Guitar by John Williams'. She also knows that 80 percent of customers buy 'Classical Guitar by John Williams'. Given that one of her customers bought 'Classical Guitar by John Williams', what is the probability that the customer will also buy 'The Best of Norah Jones'? (Round your answer to 3 decimal places) O 0.800 O 0.150 O 0.650 O 0.188

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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A sales representative in the music section of Best Buy notes that 15 percent of her customers buy 'The Best of Norah Jones' and 'Classical Guitar by John Williams'. She also knows that 80 percent of
customers buy 'Classical Guitar by John Williams'. Given that one of her customers bought 'Classical Guitar by John Williams', what is the probability that the customer will also buy 'The Best of Norah
Jones'? (Round your answer to 3 decimal places)
0.800
0.150
0.650
0.188
None in the list
Transcribed Image Text:A sales representative in the music section of Best Buy notes that 15 percent of her customers buy 'The Best of Norah Jones' and 'Classical Guitar by John Williams'. She also knows that 80 percent of customers buy 'Classical Guitar by John Williams'. Given that one of her customers bought 'Classical Guitar by John Williams', what is the probability that the customer will also buy 'The Best of Norah Jones'? (Round your answer to 3 decimal places) 0.800 0.150 0.650 0.188 None in the list
Expert Solution
Step 1

Given data in the problem is

Assume that 

A------> The Best of Norah Jones 

B------>Classical Guitar By William Jones 

Now P(B)=0.80 

P(AnB)=1-0.80 

P(AnB)=0.20 

Now we have to calculate P(A) 

P(A)=P(AnB)/P(B) 

        =0.20/0.80 

         =0.250

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