A fair coin is continually flipped until heads appears for the 10th time. Let X denote the number of tails that occur. Compute the probabili

Question

A fair coin is continually flipped until heads appears for the 10th time. Let X denote the number of tails that occur. Compute the probability mass function of X.

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Ngọc Diệp 4 years 2021-09-01T16:03:13+00:00 1 Answers 15 views 0

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  1. ThanhThu
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    2021-09-01T16:04:46+00:00
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    Answer:

    P(X=n) = [n+9 C 9] (0.5)ⁿ⁺¹⁰

    Explanation:

    Number of times a head appears = 10

    Total number of times the coin is flipped = X + 10

    X = number of tails

    Since it is certain that the last flip is a head , probability mass function of tail can be gotten out of (X + 10 -1) flips = X + 9 flips

    P(X=n) = [n+9 C 9] (0.5)ⁿ⁺¹⁰

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