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    Normal Probability: Standard Normal Distribution

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    Question: A set of 50 data values has a mean of 40 and a variance of 25.

    I. Find the standard score (z) for a data value = 47.
    II. Find the probability of a data value > 47.
    III. Find the probability of a data value < 47.

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    Standard normal distribution
    A set of 50 data values ...

    Solution Summary

    This solution provides the step by step methodology for the calculation of the probability using the Z score. Formulas for the calculations and an interpretation of the results is given in the attached Word document. Two distribution graphs are also provided in the attached file.