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In: Statistics and Probability

. Answers for Z-values should be 2 decimals, probabilities should be 3 decimals, X-values 1 decimal....

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Answers for Z-values should be 2 decimals, probabilities should be 3 decimals, X-values 1 decimal. If σX = the standard deviation (SD) of X and µX = the mean of X, then:

Z Formula 1:   X to Z → Z0 = (X0 - µX) / σX

Z Formula 2:   Z to X → X0 = µX + (Z0 * σX)

     Given μX = 8.3, σX = 3.2

        a) Find X0 such that prob(X0 < X < 10) = .38

b) Find X1 such that prob(5.1 < X < X1) = .59

c) Find the 78.81st percentile of X

       

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