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Thread: Probability Question

  1. #1
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    Probability Question

    Probability Question-screen-shot-2019-07-02-4.34.15-pm.pngProbability Question-screen-shot-2019-07-02-4.35.56-pm.png

    I do not understand this problem even after seeing the solution to the problem.

    the part that confuses me the most is why P[3 don't respond] equals to that when the answer is 4x
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  2. #2
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    Re: Probability Question

    Do you understand that $P[\text{respond}]=0.7$ ?

    At least 3 never respond is the same situation as at most 1 responds.

    So we have a binomial distribution to evaluate at $k=0,1$

    $P[\text{at least 3 don't respond}] = P[\text{0 or 1 respond}] = (1-0.7)^4 + \dbinom{4}{1}(0.7)^1 (1-0.7)^3 = (0.3)^4 + 4 (0.3)^3(0.7)$

    This is choice A.
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