Please answer a, b, c, d and e showing all the steps made by hand. Thank you.

You have been hired to determine the probability that the rains in the month of March in the city of La- La-Land (see Table P3) will be greater than 2 inches, for this you have been provided with the precipitation data in the month of March for the past 31 years. If we assume that rainfall accumulation is a random variable X and has a log-normal distribution. Determine the following to establish your solution: a) b) c) d) e) Mean value, E[X] Variance and standard deviation, V[xl and respectively g and o parameters for the log-normal distribution using equations 3 and 4, respectively v[xl = - 1) 2 Solving algebraically from Eq. 1 & Eq. 2 it can be shown that: g In(EIX1) Eq.3