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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)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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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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