Let D be the weight, in pounds, of a randomly selected male baseball player. Let L...

Let D be the weight, in pounds, of a randomly selected male baseball player. Let L be the weight, in pounds, of a randomly selected female softball player. Suppose D is normally distributed with a mean weight of 173 pounds and a standard deviation of 29 pounds. Suppose L is normally distributed with a mean weight of 143 pounds and a standard deviation of 25 pounds. L and D are independent

a) Calculate the expected value of L + D. (in pounds)

b) Calculate the standard deviation of L + D. (in pounds)

f) What is the probability that L + D is greater than 300 pounds?

g) Suppose we randomly select a male baseball player and a female softball player. What is the probability that each of these players weighs more than 150 pounds.? (L>150 and D>150)?

h)What is the probability that D is greater than L?

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Expert Solution

orchestra answered 1 year ago

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