3. Value at risk (VAR) has become a key concept in financial calculations. The VAR of an investment is defined as that value v such that there is only a 1 percent chance that the loss from the investment will exceed v. If the gain from an investment is a normal random variable with mean 15 and variance 36, determine the value at risk v. (If X is the gain, then -X is the loss.) 4. Consider a random variable X that is equal to 1, 2, or 3. If we know that p(1) = 1/2 and p(2) = 1/3 a. Please find the cumulative distribution function F(.) for this Random Variable X. b. Please draw this distribution function. C . What is P(X > 2)? d What is P(1