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]?
pqpqpq
p/qp/qp/q
q/pq/pq/p
p+qp+qp+q