The annual average precipitation for Washington, DC, is 43 in., with a standard deviation of 6.5 in (P~ N(43,6.5)). Simulate the precipitation as a normal random variable in MATLAB. Plot the histogram, and, find the probability that the precipitation in any 1 year is (a) greater than 55 in., b) less than 35 in., c) either less than 32 in. or greater than 51 in., d) between 38 and 48 in. Output must include your MATLAB code, histogram of P, and the calculated probability values