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    Constructing a probability distribution using a frequency distribution

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    The table shows the number of overtime hours worked per week per employee. Use the frequency distribution to construct a probability distribution. Then find the mean, variance and standard deviation.

    O/T 0 1 2 3 4 5 6 7
    Empl 13 15 38 37 22 14 16 45

    1) Mean
    2) variance
    3) standard deviation
    Please explain in details step by step so I can understand what I am doing.
    Thank you.

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    https://brainmass.com/statistics/probability/constructing-a-probability-distribution-using-a-frequency-distribution-83559

    Solution Preview

    In order to build the frequency distribution, we must first find the total number of observations. In order to do this, we sum all the frequencies from the table you gave:

    Number of Observations = 13+15+38+37+22+14+16+45 = 200

    Then, the probability of each outcome (each possible number of overtime hours) is calculated as:
    (Frequency for that outcome)/(Number of Observations)

    For example, there were 13 employees with 0 hours of overtime. So we conclude that the probability of an employee ...

    Solution Summary

    This solution provides the calculation of a probability distribution given a frequency distribution.

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