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3.3.12 Suppose you flip four fair coins. Let X be the number of heads showing, and let y be the number of tails showing. Compute Cov(X, Y) and Corr(X, Y).

3.3.12 Suppose you flip four fair coins. Let X be the number of heads showing, and let y be the number of tails showing. Compute Cov(X, Y) and Corr(X, Y).

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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CS 3.3.12 Suppose you flip four fair coins. Let X be the number of heads showing, and let y be the number of tails showing. Compute Cov(X, Y) and Corr(X, Y). 3.3.13 Let X and Y be independent, with X~Bernoulli(1/2) and Y~Bernoulli(1/3). Let Z = X + Y and W = X-Y. Compute Cov(Z, W) and Corr(Z, W). 3.3.14 Let X and Y be independent, with X~ Bernoulli (1/2) and Y~ N(0, 1). Let Z = X + Y and W = X-Y. Compute Var(Z), Var(W), Cov(Z, W), and Corr(Z, W). 3.3.15 Suppose you roll one fair six-sided die and then flip as many coins as the num- ber showing on the die. (For example, if the die shows 4, then you flip four coins.) Let X Fe the number showing on the die and Y be the number of heads obtained. Compute Scanned Wher the needs die ee
Transcribed Image Text:CS 3.3.12 Suppose you flip four fair coins. Let X be the number of heads showing, and let y be the number of tails showing. Compute Cov(X, Y) and Corr(X, Y). 3.3.13 Let X and Y be independent, with X~Bernoulli(1/2) and Y~Bernoulli(1/3). Let Z = X + Y and W = X-Y. Compute Cov(Z, W) and Corr(Z, W). 3.3.14 Let X and Y be independent, with X~ Bernoulli (1/2) and Y~ N(0, 1). Let Z = X + Y and W = X-Y. Compute Var(Z), Var(W), Cov(Z, W), and Corr(Z, W). 3.3.15 Suppose you roll one fair six-sided die and then flip as many coins as the num- ber showing on the die. (For example, if the die shows 4, then you flip four coins.) Let X Fe the number showing on the die and Y be the number of heads obtained. Compute Scanned Wher the needs die ee
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