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(c) What is its variance? 0.2478 (d) What is its cumulative-distribution function? X x < 0 0 < x < 1 1 ≤ x < 2 x 22 Need Help? 0 1 Read It F(x)

(c) What is its variance? 0.2478 (d) What is its cumulative-distribution function? X x < 0 0 < x < 1 1 ≤ x < 2 x 22 Need Help? 0 1 Read It F(x)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Part D

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 mixed gender family, assuming that the mother and father are not genetically related. In particular, we might be interested in whether the mother or father is hypertensive, which is described, respectively, by events A = {mother's DBP ≥ 90), B = {father's DBP ≥ 90}. Suppose we know that Pr(A) = 0.09, Pr(B) = 0.21. Let X be the random variable representing the number of hypertensive adults in a given mixed gender family. (a) Derive the probability-mass function for X. x 0 1 2 0.7189 0.2622 0.0189 Pr(x = x) (c) What is its variance? 0.2478 X (b) What is its expected value? 0.3 x < 0 (d) What is its cumulative-distribution function? 0 < x < 1 1 < x < 2 x ≥ 2 Need Help? 0 ✓ 1 ✓ Read It ✓ F(x)
Transcribed Image Text: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 mixed gender family, assuming that the mother and father are not genetically related. In particular, we might be interested in whether the mother or father is hypertensive, which is described, respectively, by events A = {mother's DBP ≥ 90), B = {father's DBP ≥ 90}. Suppose we know that Pr(A) = 0.09, Pr(B) = 0.21. Let X be the random variable representing the number of hypertensive adults in a given mixed gender family. (a) Derive the probability-mass function for X. x 0 1 2 0.7189 0.2622 0.0189 Pr(x = x) (c) What is its variance? 0.2478 X (b) What is its expected value? 0.3 x < 0 (d) What is its cumulative-distribution function? 0 < x < 1 1 < x < 2 x ≥ 2 Need Help? 0 ✓ 1 ✓ Read It ✓ F(x)
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