a. Probability of getting a project from a financial organization is 2%. It is given that one person can propose one proposal at a time. Three persons proposed their projects at a time to the organization. The random variable X counts number of granted projects from first two proposals and the random variable Y counts number of granted projects from last two proposals. i. What is the cdf of (X, Y) and marginal cdfs of X, Y? ii. What is correlation coefficient of X and Y? a. Find the density function of Y = BX where a > 0, > 0 if X is exponentially distributed with mean -1. b. Find the density function of Y = ex if X is normally distributed with mean u and standard deviation o. The joint probability functions of the rv (X, Y) is f(x,y)={ [k(x+y+3xy), if1