In: Statistics and Probability
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?
µ = 50
sd = 10
mean of 4 = 220 / 4 = 55
= P(Z > 1)
= 1 - P(Z < 1)
= 1 - 0.8413
= 0.1587