Mimi just started her tennis class three weeks ago. On average, she is able to return 20% of her opp

Discussion in 'Calculator Requests' started by math_celebrity, Jan 8, 2017.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    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
     

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