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6 August, 13:59

A certain tennis player makes a successful first serve 70% of the time. Assume that each serve is independent of the others. If she

serves 6 times, what's the probability that she gets ...

All 6 serves in?

Exactly 4 serves in?

At least 4 serves in?

No more than 4 serves in?

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Answers (1)
  1. 6 August, 14:07
    0
    this is a binomial problem: p = 0.7 and q = 0.3

    a) (0.7) ^6

    b) (6C4) (0.7) ^4 (0.3) ^2

    c) Pr (at least 4) = Pr (4) + Pr (5) + Pr (6) = (6C5) (0.7) ^5 (0.3) + (0.7) ^6

    d) Pr (no more than 4) = 1 - Pr (at least 4) = 1 - (answer from c)
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