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In a college health fitness program, let X denote the weight in kilograms of a male
Chapter 4, Problem 4.5-10(choose chapter or problem)
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 X = 72.30, 2 X = 110.25, Y = 2.80, 2 Y = 2.89, and = 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:
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 X = 72.30, 2 X = 110.25, Y = 2.80, 2 Y = 2.89, and = 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 that,
Let X and Y have a bivariate normal distribution with
