In a particular retail clothing store, approximately 25% of potential customers who walk into the store make a purchase. In a random sample of 20 customers that walked into the store, a. what is the probability that exactly 9 of the customers make purchases? Round to 3 significant digits. b. what is the probability that at least 2 of the customers make purchases? Round to 3 significant digits. c. how many of the customers are expected to make purchases? Round to 3 significant digits. d. what is the standard deviation of the number of customers who make purchases?In a particular retail clothing store, approximately 25% of potential customers who walk into the store make a purchase. In a random sample of 20 customers that walked into the store, a. what is the probability that exactly 9 of the customers make purchases? Round to 3 significant digits. b. what is the probability that at least 2 of the customers make purchases? Round to 3 significant digits. c. how many of the customers are expected to make purchases? Round to 3 significant digits. d. what is the standard deviation of the number of customers who make purchases?A certain soda company, "Pop's Soda", claims that 84% of soda drinkers prefer their soda over the other major brands of soda. If this is true, what is the probability that, in a blind taste test involving 25 randomly selected soda drinkers, exactly 84% of those sampled will say they prefer "Pop's Soda" over the other brands of soda tasted? 0.0000 Round to four decimal places if necessaryAssume X has a binomial distribution. Use the binomial formula, tables, or technology to calculate the probability of the indicated event: a. n = 17, p = 0.3 P(4 3) = 0 c. P(-2