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1. A bowl contains five chips numbered 1 to 5. A sample of two drawn without replacement from this finite population is said to be random if all possible pairs of the five chips have an equal chance to be drawn. What is the expected value of the sample mean (of the numbers drawn)? What is the variance of the sample mean? Solve these by listing down all possible scenarios.

1. A bowl contains five chips numbered 1 to 5. A sample of two drawn without replacement from this finite population is said to be random if all possible pairs of the five chips have an equal chance to be drawn. What is the expected value of the sample mean (of the numbers drawn)? What is the variance of the sample mean? Solve these by listing down all possible scenarios.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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1. A bowl contains five chips numbered 1 to 5. A sample of two drawn without replacement from this finite population is said to be random if all possible pairs of the five chips have an equal chance to be drawn. What is the expected value of the sample mean (of the numbers drawn)? What is the variance of the sample mean? Solve these by listing down all possible scenarios. 2. Let X be a continuous random variable with density f(x) = 3(1 - x)?,0 < x < 1. Determine the PDF and CDF of Y = (1 – X)³.
Transcribed Image Text:1. A bowl contains five chips numbered 1 to 5. A sample of two drawn without replacement from this finite population is said to be random if all possible pairs of the five chips have an equal chance to be drawn. What is the expected value of the sample mean (of the numbers drawn)? What is the variance of the sample mean? Solve these by listing down all possible scenarios. 2. Let X be a continuous random variable with density f(x) = 3(1 - x)?,0 < x < 1. Determine the PDF and CDF of Y = (1 – X)³.
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