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statistics

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A police department reports that the probabilities that 0, 1, 2, and 3 burglaries will be reported in a given day are 0.50, 0.41, 0.05, and 0.04, respectively. Find the standard deviation for the probability distribution. Round answer to the nearest hundredth.

  • statistics -

    Your data:

    X P(X)

    0 0.50
    1 0.41
    2 0.05
    3 0.04

    Here's a formula for the mean:
    SUM[X * P(X)]
    (Take each X times its respective P(X), then sum for a total. This will be your mean.)

    Here's a formula for the standard deviation:
    SQRT of {SUM[X^2 * P(X)] - mean^2}
    (Square each X. Take each X^2 times its respective P(X), then sum for a total. Subtract mean^2 from this value. Then take the square root of that result. This will be your standard deviation.)

    I hope this will help get you started.

  • statistics -

    0.57

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