Exercise 1.8

Answers

In a sample of 10 marbles, for the fraction ν of red marbles to be ν ≤ 0.1, we must have at most one red marble.

P(number of red ≤ 1) = P(red = 0) + P(red = 1) = (1 − μ)10 + μ(1 − μ)9 = (1 − μ)9 = 1.0e − 9
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2021-12-07 18:15
Comments
  • The binomial probability mass function is $$P(X = k) = {n\choose k} p^k (1-p)^{n-k}$$ hence $$P(red=1) = 10 \mu (1-\mu)^9$$
    SqueezeWizard • 2024-06-18