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ZanzabumX [31]
3 years ago
7

The total snowfall per year in Laytonville is normally distributed with mean 99 inches and standard deviation 14 inches. Based o

n the Empirical Rule, what is the probability that in a randomly selected year, the snowfall was less than 127 inches
Mathematics
1 answer:
Sergio039 [100]3 years ago
3 0

Answer: Required probability is 0.9772.

Step-by-step 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=\dfrac{X-\mu}{\sigma}

So, it becomes,

P(X

Hence, required probability is 0.9772.

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