5 (20 points) No answer yet Assume that X is a normal random variable with parameters pi and 0'2. Assume that t is a real number. Calculate the expectation of em. 6 (20 points) No answer yet Assume that A, t, and K are fixed positive real numbers. The random variable X is defined as Xi AetZiK, ifAetZ>K, ' 0, ifAe'ZSK, where Z is a standard normal random variable. Evaluate the expected value of X. Your final answer can be expressed in terms of the constants A, t, K, and the cumulative distribution function 'I' of the standard normal random variable