Question

In: Statistics and Probability

the average amount of rain per year in Greenville is 49 inches. the standard deviation is...

the average amount of rain per year in Greenville is 49 inches. the standard deviation is 8 inches. Find the probability and graph that next year Greenville will receive less than 46 inches and more than 54 inches of rain. Assume the variable is normally distributed.

Solutions

Expert Solution

Let define a random variable X that represent rain per year in Greenville.

The random variable X is normally distributed with mean 49 inches and standard deviation 8 inches.

i.e, X~N(49,8)

We need to find the probability that next year Greenville will receive less than 46 inches.

We need to find probability that next year Greenville will receive rain more than 54 inches.


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