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Random Variableshard
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Let X∼Bernoulli(p)X \sim \text{Bernoulli}(p)X∼Bernoulli(p) and Y∣X∼Binomial(X,q)Y|X \sim \text{Binomial}(X, q)Y∣X∼Binomial(X,q). What is E[Y]E[Y]E[Y]?