SOLUTION: A car dealer has kept records of the customers who visited his showroom. 30% of the customers who visited his showroom were women. Furthermore, his records show that 24% of the wom

Question 879650: A car dealer has kept records of the customers who visited his showroom. 30% of the customers who visited his showroom were women. Furthermore, his records show that 24% of the women who visited his showroom ended up buying a car while only 14% of the men ended up buying a car. If, while away for a lunch break, a customer came to the showroom and talk to the assistant but did not buy a car, what is the probability that the customer was a man?
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
1-.14=.86 of men who come in don't buy a car.
1-.24=.76 of women who come in don't buy a car.
.
.7*.86=.602 probability that a man came in and didn't buy a car.
.3*.76=.228 probability that a woman came in and didn't buy a car.
.602+.228=.83 Probability of someone coming in and not buying a car.
.602/.83 = 301/415 =~ 72.5% the probability that the customer was a man.
.
Ed

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