Question

In: Statistics and Probability

The annual rainfall in a region has a normal distribution with a mean rainfall of 50...

The annual rainfall in a region has a normal distribution with a mean rainfall of 50 inches and a standard deviation of 10 inches. what is the probability that the total rainfall of four randomly picked years will exceed 220 inches?

Solutions

Expert Solution

µ = 50

sd = 10

mean of 4 = 220 / 4 = 55

                        

                         = P(Z > 1)

                         = 1 - P(Z < 1)

                         = 1 - 0.8413

                         = 0.1587


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