SOLUTION: Here is my problem that I am working through on probabilities of random variables. Suppose heights of men in inches follow a N(71,3) model and heights of women follow a N(67, 2.5)

Algebra ->  Algebra  -> Probability-and-statistics -> SOLUTION: Here is my problem that I am working through on probabilities of random variables. Suppose heights of men in inches follow a N(71,3) model and heights of women follow a N(67, 2.5)       Log On

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 Question 102622: Here is my problem that I am working through on probabilities of random variables. Suppose heights of men in inches follow a N(71,3) model and heights of women follow a N(67, 2.5) model. If I randomly choose a man and randomly choose a woman, what's the probability that the woman will be taller than the man?Answer by stanbon(57967)   (Show Source): You can put this solution on YOUR website!Suppose heights of men in inches follow a N(71,3) model and heights of women follow a N(67, 2.5) model. If I randomly choose a man and randomly choose a woman, what's the probability that the woman will be taller than the man? --------------- If you randomly choose a man his height will be 71 inches. You want the probability a randomly selected woman's height is greater than 71 inches. z(71)= (71-67)/3 = 4/3 Prob(z>4/3) = 0.091 =================== Cheers, Stan H.