It is known that 70% of the customers in a sporting goods store purchase a pair of running shoes. a random sample of 25 customers is selected. assume that customers' purchases are made independently, and let x represent number of customers who purchase running shoes. find the probability distribution of x.

Let x be the discrete random variable whose value is the number of successes in n trials.

The probability distribution function for x of the binomial distribution B(n,p) is defined as

Given that the random sample size is

let x represent number of customers who purchase running shoes

Let "p" be the probability of customers in a sporting goods store purchase a pair of running shoes.

It is given that 70% of the customers in a sporting goods store purchase a pair of running shoes.

Thus

Thus the Probability distribution of x is given by

, where

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