Consider the following situation for Questions 18, 19 and 20. Show all work. Just the answer, without supporting work, will receive no credit.
Mimi just started her tennis class three weeks ago. On average, she is able to return 15% of her opponent’s serves. Let random number X be the number of serves Mimi returns. As we know, the distribution of X is a binomial probability distribution. If her opponent serves 10 times, please answer the following questions:
18. What is the number of trials (n), probability of successes (p) and probability of failures (q), respectively? (5 pts)
19. Find the probability that she returns at least 2 of the 10 serves from her opponent . (10 pts)
20. Find the mean and standard deviation for the probability distribution. (10 pts)
(18) n = 10, p = 0.15, q = 1 &n