Question: A set of 50 datavalues has a meanof 40 and a varianceof 25.
I. Find the standard score (z) for a data value = 47.
II. Find the probabilityof a data value > 47.
III. Find the probability of a data value < 47.
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Please see the attachment.
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Standard normal distribution
A set of 50 data values …
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.