Assume that when adults with smartphones are randomly​ selected, 42​% use them in meetings or classes. If 5 adult smartphone users are rando

Question

Assume that when adults with smartphones are randomly​ selected, 42​% use them in meetings or classes. If 5 adult smartphone users are randomly​ selected, find the probability that exactly 2 of them use their smartphones in meetings or classes

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Reagan 1 week 2021-09-14T02:08:47+00:00 1 Answer 0

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    2021-09-14T02:09:53+00:00

    Answer:

    The probability that exactly 2 of 5 use their smartphones in meetings or classes is 0.3442.

    Step-by-step explanation:

    Let X = number of adults who use smartphones in meetings or classes.

    The probability of the random variable X is, P(X) = p = 0.42

    A sample of n = 5 adult smartphone users are selected.

    The random variable X follows a Binomial distribution with parameters n and p.

    The probability mass function of X is:

    P(X=x)={n\choose x}p^{x}(1-p)^{n-x};\ x=0,1,2,3...

    Compute the value of P (X = 2) as follows:

    P(X=2)={5\choose 2}0.42^{2}(1-0.42)^{5-2}\\=10\times 0.1764\times0.195112\\=0.344177\\\approx0.3442

    Thus, the probability that exactly 2 of 5 use their smartphones in meetings or classes is 0.3442.

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