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In a college health fitness program, let X denote the
Chapter 4, Problem 10E(choose chapter or problem)
PROBLEM 10E
In a college health fitness program, let X denote the weight in kilograms of a male freshman at the beginning of the program and Y denote his weight change during a semester. Assume that X and Y have a bivariate normal distribution with μX = 72.30, σ2X= 110.25,μY = 2.80, σ2Y= 2.89, and ρ = −0.57. (The lighter students tend to gain weight, while the heavier students tend to lose weight.) Find
(a) P(2.80 ≤ Y ≤ 5.35).
(b) P(2.76 ≤ y ≤ 5.34 |X = 82.3).
Questions & Answers
QUESTION:
PROBLEM 10E
In a college health fitness program, let X denote the weight in kilograms of a male freshman at the beginning of the program and Y denote his weight change during a semester. Assume that X and Y have a bivariate normal distribution with μX = 72.30, σ2X= 110.25,μY = 2.80, σ2Y= 2.89, and ρ = −0.57. (The lighter students tend to gain weight, while the heavier students tend to lose weight.) Find
(a) P(2.80 ≤ Y ≤ 5.35).
(b) P(2.76 ≤ y ≤ 5.34 |X = 82.3).
ANSWER:
Step 1 of 5
Given parameters,
