Computing the variance of x

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We know X|Y is a normal random variable with mean Y and variance 2. The probability distribution of Y is a binomial distribution with success probability 0.3 and the number of trials 5. What is the variance of X? (The way to interpret X|Y is as follows: If Y=0, [X|Y=0] is a normal random variable with mean 0 and variance 2)

Reference no: EM132464063

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