76​% of U.S. adults think that political correctness is a problem in America today. You randomly select six U.S. adults and ask them whether

Question

76​% of U.S. adults think that political correctness is a problem in America today. You randomly select six U.S. adults and ask them whether they think that political correctness is a problem in America today. The random variable represents the number of U.S. adults who think that political correctness is a problem in America today. Answer the questions below.

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Latifah 3 years 2021-08-25T02:15:31+00:00 1 Answers 12 views 0

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  1. Doris
    0
    2021-08-25T02:16:32+00:00
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    Answer:

    E(x) = 4.56 — Mean

    s^2 = 1.0944 — Variance

    s = 1.0461 — Standard Deviation

    Step-by-step explanation:

    See Comment for missing details

    Given

    p = 0.76 — proportion

    n = 6 — sample

    Solving (a): The mean; E(x)

    This is calculated as:

    E(x) = n * p

    Substitute values for n and p

    E(x) = 6 * 0.76

    E(x) = 4.56

    Solving (b): The variance; s^2

    This is calculated as:

    s^2 = n*p*(1-p)

    Substitute values for n and p

    s^2 = 6 * 0.76 * (1-0.76)

    s^2 = 6 * 0.76 * 0.24

    s^2 = 1.0944

    Solving (c): The standard deviation; s

    This is calculated as:

    s = \sqrt{s^2

    Substitute value for s^2

    s = \sqrt{1.0944

    s = 1.0461

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