A record store owner assesses customers entering the store as high school age, college age,

or older, and finds that among all customers 30%, 50%, and 20% respectively, fall into these

categories. The owner also found that purchases were made by 20% of high school age

customers, by 60% of college age customers, and by 80% of older customers.

(a) Find the probability that a randomly chosen customer will make a purchase?


(b) If a customer makes a purchase, what is the probability that this customer is of college

age?

Answer :

MathPhys

Step-by-step explanation:

(a) P = (0.3)(0.2) + (0.5)(0.6) + (0.2)(0.8)

P = 0.52

(b) (0.5)(0.6) = 0.3

P = 0.3 / 0.52

P = 0.58

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