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24 August, 01:49

Suppose that K is a random variable. Given that Upper P (negative 3.95 less than or equals Upper K less than or equals 3.95) equals 0.725 comma and that Upper P (Upper K less than minus 3.95) equals Upper P (Upper K greater than 3.95) comma find Upper P (Upper K greater than 3.95).

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  1. 24 August, 02:19
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    P [ K > 3.95] = 0.5633

    Step-by-step explanation:

    The interpretation of the given question goes thus;

    Suppose that K is a random variable

    P[-3.95 ≤ K ≤ 3.95] = 0.725

    where; P [ + 3.95 < K ] = P [K < - 3.95]

    P[K - 3.95] = 0.725

    P [K < 3.95] - [ 1 - P[K < 3.95]] = 0.725

    P[k < 3.95] - 1 + P [ K < 3.95] = 0.725

    3.95 P [ K < 3.95] - 1 = 0.725

    3.95 P [ K < 3.95] = 1.725

    P [ K < 3.95] = 1.725/3.95

    P [ K < 3.95] = 0.4367

    P [ K > 3.95] = 1 - P[K< 3.95]

    P [ K > 3.95] = 1 - 0.4367

    P [ K > 3.95] = 0.5633
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