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5 July, 13:02

Assume that when adults with smart phones are randomly selected 46% use them in meetings or classes if 20 adult smartphone users are randomly selected find the probability that exactly 12 of them use their smart phones in meetings or classes

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  1. 5 July, 13:15
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    0.0818.

    Step-by-step explanation:

    This question can be solved using the binomial theorem because the probability of success is fixed.

    Total adults = n = 20

    Required attempts = r = 12

    Probability of success = p = 3/4 = 0.46

    Binomial Theorem formula:

    P (X=r) = nCr * p^r * (1-p) ^ (n-r).

    Substituting the values:

    P (X=12) = 20C12 * 0.46^12 * (1-0.46) ^8

    P (X=12) = 125970 * 0.46^12 * (0.54) ^8 = 0.0818 (to the nearest 3 significant figures).

    So the probability that exactly 12 people use their smart phones in meetings or classes out of 20 is 0.0818!
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