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# For a female freshman in a health fitness program, let X ISBN: 9780321923271 41

## Solution for problem 11E Chapter 4.5

Probability and Statistical Inference | 9th Edition

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Problem 11E

PROBLEM 11E

For a female freshman in a health fitness program, let X equal her percentage of body fat at the beginning of the program and Y equal the change in her percentage of body fat measured at the end of the program. Assume that X and Y have a bivariate normal distribution with μX = 24.5, σ2X= 4.82 = 23.04, μY = −0.2,σ2Y = 3.02 = 9.0, and ρ = −0.32. Find

(a) P(1.3 ≤ Y ≤ 5.8).

(b) μ Y|x, the conditional mean of Y, given that X = x.

(c) σ 2 Y|x, the conditional variance of Y, given that X = x.

(d) P(1.3 ≤ Y ≤ 5.8 |X = 18).

Step-by-Step Solution:
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Metabolism, Energy Balance and Weight Control: Part 1 --- October 27 Why is a healthy weight important  For overall health and to prevent and maintain diseases and conditions  Overweight or Obesity o Overweight: having extra body weight from muscle, bone, fat, and water o Obesity: having a high amount of extra fat  34% of...

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##### ISBN: 9780321923271

The answer to “For a female freshman in a health fitness program, let X equal her percentage of body fat at the beginning of the program and Y equal the change in her percentage of body fat measured at the end of the program. Assume that X and Y have a bivariate normal distribution with ?X = 24.5, ?2X= 4.82 = 23.04, ?Y = ?0.2,?2Y = 3.02 = 9.0, and ? = ?0.32. Find(a) P(1.3 ? Y ? 5.8).(b) ? Y|x, the conditional mean of Y, given that X = x.(c) ? 2 Y|x, the conditional variance of Y, given that X = x.(d) P(1.3 ? Y ? 5.8 |X = 18).” is broken down into a number of easy to follow steps, and 109 words. This textbook survival guide was created for the textbook: Probability and Statistical Inference , edition: 9. Probability and Statistical Inference was written by and is associated to the ISBN: 9780321923271. The full step-by-step solution to problem: 11E from chapter: 4.5 was answered by , our top Statistics solution expert on 07/05/17, 04:50AM. Since the solution to 11E from 4.5 chapter was answered, more than 291 students have viewed the full step-by-step answer. This full solution covers the following key subjects: program, given, percentage, body, fat. This expansive textbook survival guide covers 59 chapters, and 1476 solutions.

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