Expectation and variance of a discrete random variable
 

Expectation and variance of a discrete random variable problem 2


Jacob throws three coins at the same time. The first coin is biased so that the probability of obtaining a head when it is thrown is . The second coin is biased so that the probability of obtaining a head when it is thrown is . The third coin is biased so that the probability of obtaining a head when it is thrown is . The random variable X is the number of heads obtained. Given that , find .


 

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