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25 July, 18:36

R. H Bruskin Associates Market Research found that 40% of Americans do not think having a college education is important to succeed in the business world. If a random sample of 5 americans is selected, find these probabilities:. a. Exactly two people will agree w / that statement. b. At most 3 people will agree w / that statement. c. At least 2 people will agree. d. Fewer than 3 people will agree

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  1. 25 July, 20:42
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    a. Exactly two people will agree

    n = 5, p = 0.40

    P (2 people) = 5! / ((5-2) !2!) • (0.4) ^2 (1 - 0.4) ^ (5-2)

    = [ 5! / (3!2!) ]• (0.4) ^2 (0.6) ^ 3

    = 0.346

    b. At most three people will agree.

    P (X) = 0.078 + 0.259 + 0.346 + 0.230

    = 0.913

    c. At least two people will agree.

    X = 2, 3, 4,

    or

    5 people P (X) = 0.346 + 0.230 + 0.077 + 0.01

    = 0.663

    d. Fewer than three people will agree.

    X = 0, 1, or 2

    people P (X) = 0.078 + 0.259 + 0.346

    = 0.683
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