# Question

The annual rainfall (in inches) in a certain region is normally distributed with μ = 40 and σ = 4. What is the probability that, starting with this year, it will take over 10 years before a year occurs having a rainfall of over 50 inches? What assumptions are you making?

## Answer to relevant Questions

Suppose that X is a normal random variable with mean 5. If P{X > 9} = .2, approximately what is Var(X)? One thousand independent rolls of a fair die will be made. Compute an approximation to the probability that the number 6 will appear between 150 and 200 times inclusively. If the number 6 appears exactly 200 times, find the ...(a) A fire station is to be located along a road of length A, A < ∞. If fires occur at points uniformly chosen on (0, A), where should the station be located so as to minimize the expected distance from the fire? That is, ...The density function of X is given by If E[X] = 3/5, find a and b. Show thatPost your question

0