Question

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. Group of answer choices Geometric distribution None of the given distributions Binomial distribution Hypergeometric distribution Negative Binomial distribution Poisson distribution

Answer 1

Binomial distribution

Explanation:

For each person, there are only two possible outcomes. Either they purchase a pair of running shoes, or they do not. Customers' purchases are made independently. This means that the probability distribution of X is the binomial probability distribution.