A weather forecaster predicts that the May rainfall in a local area will be between 3 and 4 inches but has no idea where within the interval the amount will be. Let x be the amount of May rainfall in the local area, and assume that x is uniformly distributed over the interval 3 to 4 inches.(a) Calculate the expected May rainfall(b) What is the probability that the observed May rainfall will fall within two standard deviations of the mean? Within one standard deviation of the mean?