A marketing assistant is observing customers in a supermarket. He randomly observes a sample of 150 customers and records the number of cans of cola they purchase, 4 cans, 6 cans or 9 cans. In the sample,there are 60 male customers and 90 female customers. Below is his observation result

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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A marketing assistant is observing customers in a supermarket. He randomly observes a sample of 150 customers and records the number of cans of cola they purchase, 4 cans, 6 cans or 9 cans. In the sample,there are 60 male customers and 90 female customers. Below is his observation result:

Male Purchasing 4 cans Purchasing 6 cans Purchasing 9 cans
Frequency 15 28 17
Female Purchasing 4 cans Purchasing 6 cans Purchasing 9 cans
Frequency 51 32 7

(a) Use the combined result of all 150 customers, by using X to represent the number of cans of cola purchased by a customer, present the probability distribution function of X.
(b) For a customer in this sample has purchased 9 cans of cola, what is the probability that this customer is a male ?

 

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