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    Probability Distribution for Traffic Accidents

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    The follow table contains the probability distribution for the number of traffic accidents daily in a small city.
    See attached.
    a. Compute the mean number of accidents per day.
    b. Compute the standard deviation.

    © BrainMass Inc. brainmass.com October 10, 2019, 8:03 am ad1c9bdddf
    https://brainmass.com/business/managerial-statistics/probability-distribution-traffic-accidents-606398

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    5.2
    X P(X) X.P(x) [X - m] [X - m]2 P(X)*[X - m]2
    0 0.1 0.00 -2.00 4.00 0.40
    1 0.2 0.20 -1.00 1.00 0.20
    2 0.45 0.90 0.00 0.00 0.00
    3 0.15 0.45 1.00 1.00 0.15
    4 0.05 0.20 2.00 4.00 0.20
    5 0.05 0.25 3.00 9.00 0.45
    m = 2.00 1.40
    Mean = 2.0
    Standard deviation = 1.18

    5.1 n = 5
    p = 0.4
    P(X)

    P(X = 4) = 5! (0.4)4 (1-0.4)5-4
    4!(5-4)!
    P(X = 4) = 5*0.4*0.4*0.4*0.4*0.6= 0.077

    P(X<=3)= P(X=0) + P(X = 1) + P(X=2)+P(X=3)

    P(X=0) = 5! (0.4)0 (1-0.4)5-0 0.07776
    0!(5-0)!

    P(X = 1) = 5! (0.4)1 (1-0.4)5-1 0.2592
    1!(5-1)!

    P(X=2) = 5! (0.4)2 (1-0.4)5-2 0.3456
    2!(5-2)!

    P(X=3) = 5! (0.4)3 (1-0.4)5-3 0.2304
    3!(5-3)!

    P(X<=3) = 0.91296

    P(X<2) = P(X=0) + P(X=1)
    P(X<2) = 0.33696

    P(X>1) = 0.07776

    5.15 Mean = np = 20*0.05 = 1
    a Standard ...

    Solution Summary

    Solution to multiple statistics problems. The expert examines probability distribution for traffic accidents.

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