# Question: suppose that y is a normal random variable with...

###### Question details

. Suppose that Y is a normal random variable with mean
µ = 3 and variance σ

2 = 1; i.e.,

Y

dist = N(3, 1). Also suppose that X is a binomial random variable
with n = 2 and p = 1/4; i.e.,

X

dist = Bin(2, 1/4). Suppose X and Y are independent random
variables. Find the expected

value of Y

X. Hint: Consider conditioning on the events {X = j} for j = 0, 1,
2.