The final exam scores for students in Probability and Statistics are normally distributed with a mean of 79.4 and a standard deviation of 8.8. What vaule represents P40 {"version":"1.1","math":"

P40 = 77.244

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean and standard deviation , the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

What vaule represents P40

This is the 40th percentile, that is, X when Z has a pvalue of 0.4. So X when Z = -0.245.

P40 = 77.244

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