A meeting on an unpopular topic has been announced. The number of attendees may be modeled by X where What is the probability that at least

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A meeting on an unpopular topic has been announced. The number of attendees may be modeled by X where What is the probability that at least 5 people attend the meeting given that at least 2 attend

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Bơ 4 years 2021-08-27T06:16:57+00:00 1 Answers 20 views 0

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  1. sori
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    2021-08-27T06:18:27+00:00
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    Answer:

    The probability that at least 5 people attend the meeting given that at least 2 attend is 12.50%.

    Step-by-step explanation:

    Note: This question is not complete. The complete question is therefore provided before answering the question as follows:

    A meeting on an unpopular topic has been announced. The number of attendees may be modeled by X where:

    P(X = x) = 1 / 2^(x+1), for x = 0,1,2,…

    What is the probability that at least 5 people attend the meeting given that at least 2 attend?

    The explanation of the answer is now provided as follows:

    Given:

    P(X = x) = 1 / 2^(x+1), for x = 0,1,2,…                    (1)

    Since it is given that at least 2 attend, it implies that we need to calculate P(x) at x = 2.

    Substituting x = 2 into equation (1), we have:

    P(X = 2) = 1 / 2^(2 + 1)

    P(X = 2) = 1 / 2^3

    P(X = 2) = 1 / 8

    P(X = 2) = 0.1250, or 12.50%

    Therefore, is the probability that at least 5 people attend the meeting given that at least 2 attend is 12.50%.

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