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The total snowfall per year in Laytonville is normally distributed with mean 99 inches and standard deviation 14 inches. Based on the Empirical Rule, what is the probability that in a randomly selected year, the snowfall was less than 127 inches

User Rifthy
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1 Answer

7 votes

Answer: Required probability is 0.9772.

Explanation:

Since we have given that

Mean = 99 inches

Standard deviation = 14 inches

It is normally distributed.

We need to find the probability that in a randomly selected year, the snowfall was less than 127 inches.

As we know that


z=(X-\mu)/(\sigma)

So, it becomes,


P(X<127)\\\\=P(z<(127-99)/(14))\\\\=P(z<2)\\\\=0.9772

Hence, required probability is 0.9772.

User Condad
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