Mimi just started her tennis class three weeks ago. On average, she is able to r
ID: 3289580 • Letter: M
Question
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 8 times.
(a) Let X be the number of the serves that Mimi returns. 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 8 serves from her opponent. (round the answer to 3 decimal places) Show all work. Just the answer, without supporting work, will receive no credit.
Explanation / Answer
a) No of Trails is 8, Probability of Succeses is 0.20 and Probability of failures is 0.80
b) P(X>=1)
Use excel function
1-BINON.DIST(0,8,0.20,TRUE)
= 0.832
So, answer is 0.832