A Honeycrisp apple has a weight, X, which are normally distributed with a mean of µ = 0.75 pounds and a standard deviation of σ = 0.15 pounds. We randomly select 49 Honeycrisp apples and weigh them. Let M be the sample mean of the selected apples. Let S be the total weight of the selected apples. a) What is the probability that X > 0.45? | b) What is the probability that X < 0.45? c) What is the probability that each of the 49 selected apples weighs more than 0.45 pounds? [ d) What is the expected value of S? [ e) What is the standard deviation of S? | f) What is the probability that S > 35 pounds. ?| g) What is the standard deviation of S - 0.05? | h) What is the expected value of M? i) What is the standard deviation of M? | 1) What is the probability that M >0.73 pounds? | k) What is the standard deviation of 9M? [ 1) If the probability of X >k is equal to .1, then what is k? | m) Add any comments below.

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