  # Solve the problem.13) The amount of snowfall falling in a certain mountain range is normally distributed with a mean of 70 inches,and a standard deviation of 10 inches. What is the probability that the mean annual snowfall during 25randomly picked years will exceed 72.8 inches?

Question help_outlineImage TranscriptioncloseSolve the problem. 13) The amount of snowfall falling in a certain mountain range is normally distributed with a mean of 70 inches, and a standard deviation of 10 inches. What is the probability that the mean annual snowfall during 25 randomly picked years will exceed 72.8 inches? fullscreen
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Step 1

13.

It is mentioned that the amount of snowfall falling in a certain mountain range is normally distributed with a mean of 70 inches and a standard deviation of 10 inches.

The sample size of randomly selected years is 25.

Step 2

The probability that the mean annual snowfall will exceed 72.8 inches can be obtained as given below:

Step 3

The probability of Z less than 1.40 can be found by using Excel command = NORM.S.DIST (1.40, TRUE)

The output obtained using ...

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