https://www.chegg.com/homework-help/questions-and-answers/2-17-points-three-popu

Question

https://www.chegg.com/homework-help/questions-and-answers/2-17-points-three-popular-options-certain-type-new-car-dealership-built-gps-sunroof-b-auto-q26342439 -------> Problem 2

3. [8 points] Refer to Problem 2. [4 points cach) (a) Find the probability that the customer wants a sunroof given that they want an automatic transmission. (b) As you walk around the dealership's lot, you see a customer drive away in the car they just bought. You clearly see that their car has a sunroof. What is the probability that their car has a built-in GPS? g

Explanation / Answer

a) probability that customer wants sunroof given want an autmatic transmission =P(B|C)=P(BnC)/P(C)=0.45/0.7

=9/14=0.642857

b) probbaility of built in GPS given sunroof =P(A|B)=P(AnB)/P(B)=(P(A)+P(B)-P(AUB))/P(B)

=(0.4+0.55-0.63)/0.55=0.581818

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