Question 2 (8 points)

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 the number of customers who purchase running shoes.

(Round your answers to three decimal places if necessary.)

What is the probability that exactly 18 customers purchase running shoes?

______________

What is the probability that no more than 19 customers purchase running shoes?

______________

What is the probability that at least 17 customers purchase running shoes?

______________

What is the probability that between 17 and 21 customers, inclusively, purchase running shoes?

______________