From Modern Mathematical Statistics with Applications by Devore and Berk, pg 187.Suppose the diameter at breast height (in.) of trees of a certain type is normally distributed withμ = 8.8 and σ = 2.8.a) What is the probability that the diameter of a randomly selected tree will be at least 10 in.?Will exceed 10 in.?b) What is the probability that the diameter of a randomly selected tree will exceed 20 in.?c) What is the probability that the diameter of a randomly selected tree will be between 5 and10 in.?d) What value is c such that the interval (8.8 − c, 8.8 + c) includes 98% of all diameter values?e) What value is the first quartile, Q1?f) If four trees are selected, what is the probability that at least one has a diameter exceeding10 in.?