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. Show all work. Let X be the number of returns that Mimi gets. As we know, the distribution of X is a binomial probability distribution.
a) 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.
(c) How many serves can she expect to return?
a) n = 8
p = 0.2
q = 1 - p
q = 1 - 0.2
q = 0.8
b) 0.4967 on our binomial calculator
c) np = 8(0.2) = 1.6 ~ 2 using the link above
a) 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.
(c) How many serves can she expect to return?
a) n = 8
p = 0.2
q = 1 - p
q = 1 - 0.2
q = 0.8
b) 0.4967 on our binomial calculator
c) np = 8(0.2) = 1.6 ~ 2 using the link above