A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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1. X is a discrete random variable with the Bernoulli distribution X~Bernoulli (y) given as follows. f(x) = y*(1 – y)-x, where, the possible outcomes of x are either 0 or 1. The term y is the probability of x=1, i.e., y = p(x = 1). Thus p(x = 0) = 1- y. Assume that y = 0.3, which means X~Bernoulli (0.3). Find the mean and variance of this random variable. Show your work.
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Transcribed Image Text:1. X is a discrete random variable with the Bernoulli distribution X~Bernoulli (y) given as follows. f(x) = y*(1 – y)-x, where, the possible outcomes of x are either 0 or 1. The term y is the probability of x=1, i.e., y = p(x = 1). Thus p(x = 0) = 1- y. Assume that y = 0.3, which means X~Bernoulli (0.3). Find the mean and variance of this random variable. Show your work.
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