Mimi just started her tennis class three weeks ago On averag

Mimi just started her tennis class three weeks ago. On average, she is able to return 20% of her opponent’s serves. Assume her opponent serves 10 times. Show work

(a) Let X be the number of returns that Mimi gets. As we know, the distribution of X is a binomial probability distribution. What is the number of trials (n), probability of successes (p) and probability of failures (q), respectively?

(b) Find the probability that that she returns at least 1 of the 10 serves from her opponent.

Solution

A) This is a binomial distribution with n = 10, p = 0.20 and q = 1 –P= 1- 0.20 = 0.80

B)PROBABILITY THAT SHE RETURNS ATLEAST 1 =1 - PROBABILITY THAT SHE DOES NOT RETURN ANY

= 1 - P(X=0) = 1 - (10!)/(10-0)!0!*(0.20)^0*(0.80)^10 = 1- 0.10 = 0.90