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4.5-10. In a college health fitness program, let X denote the weight in kilograms of a male freshman at the begin- ning of the program and Y denote his weight change during a semester. Assume that X and Y have a bivari- ate normal distribution with 4x = 72.30, a = 110.25, My = 2.80, o = 2.89, and p = -0.57. (The lighter stu- dents 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).

4.5-10. In a college health fitness program, let X denote the weight in kilograms of a male freshman at the begin- ning of the program and Y denote his weight change during a semester. Assume that X and Y have a bivari- ate normal distribution with 4x = 72.30, a = 110.25, My = 2.80, o = 2.89, and p = -0.57. (The lighter stu- dents 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).

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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4.5-10. In a college health fitness program, let X denote the weight in kilograms of a male freshman at the begin- ning of the program and Y denote his weight change during a semester. Assume that X and Y have a bivari- ate normal distribution with x = 72.30, o = 110.25, My = 2.80, o = 2.89, and p = -0.57. (The lighter stu- dents 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).
Transcribed Image Text:4.5-10. In a college health fitness program, let X denote the weight in kilograms of a male freshman at the begin- ning of the program and Y denote his weight change during a semester. Assume that X and Y have a bivari- ate normal distribution with x = 72.30, o = 110.25, My = 2.80, o = 2.89, and p = -0.57. (The lighter stu- dents 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).
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