1. Suppose the body lengths of adult mongooses are distributed normally with a mean of 40 cm and a standard deviation of 6 cm. (a) What is the probability that the body length of a randomly chosen adult mongoose will be shorter than 45 cm? (b) What is the probability that the body length of a randomly chosen adult mongoose will be between 37 and 43 cm? (c) What are the lower and upper quartiles of adult mongoose body length. 2. Return to 1, but now assume that we have randomly sampled nine adult mongooses and computed the average of their body lengths. Rework all three parts of 1 but computing the probabilities and quartiles for this sample average instead of for an individual mongoose