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1. Suppose we are conducting a hypertension-screening program in the home. Consider all possible pairs of DBP measurements of the mother and father within a

1. Suppose we are conducting a hypertension-screening program in the home. Consider all possible pairs of DBP measurements of the mother and father within a given family, assuming that the mother and father are not genetically related. This sample space consists of all pairs of numbers of the form (X, Y) where X > 0, Y > 0. Certain specific events might be of interest in this context. In particular, we might be interested in whether the mother or father is hypertensive, which is described, respectively, by events A = {mothers DBP 95}, B = {fathers DBP 95}. Suppose we know that Pr(A) = .1, Pr(B) = .2. a. Derive the probability-mass function for X. b. What is its expected value? c. What is its variance? d. What is its cumulative-distribution function

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