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Calculate the expected value and standard deviation of X, the number of on the job accidents:

Accidents 0,1 2 Probability .5, ?, .2

P(X=1) =
E(x) = µx =
Standard deviation =

  • Stats -

    Note: Your ? value should be .3 because each probability will then add to 1.

    To find the mean:
    SUM [x * P(x)]

    Multiply each x by its respective probability P(x). Add together for a total. This will be your mean.

    To find variance:
    SUM [x^2 * P(x)] - mean^2

    Square each x. Multiply each squared x by its respective probability P(x). Add together for a total. Square the mean. Subtract the squared mean from the total. This will be your variance.

    To find standard deviation:
    Take the square root of the variance.

    Hopefully, this information will help you with other problems of this type.

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