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Suppose that X is a Bernoulli random variable with P(X= 1) = p and P(X= 0) = 1 - p. a. What are the
Suppose that X is a Bernoulli random variable with P(X= 1) = p and P(X= 0) = 1 - p. a. What are the expectation and variance of X? b. What is the distribution of X2? c. What is the distribution of Y = ax + b?, where a 0 and b are constants d. In part (c), find a and b such that Y takes on values -1 and 1? e. What are the expectation and variance of Y obtained in part (d)?
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Solution a The expected value of X here is computed as EX 1PX 1 EX ...
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College Mathematics For Business Economics, Life Sciences, And Social Sciences
Authors: Raymond Barnett, Michael Ziegler, Karl Byleen, Christopher Stocker
14th Edition
0134674146, 978-0134674148
