A rm has recently sent in bids for three jobs worth (in prots} 1?. 22, 38 rupees. If its probabilities of winning the jobs are respectively 0.4. 0.5, 0.4, what is the firm's expected total profit? Provide the answer correct up to 3 decimal places. Answer: Let X and Y be jointly distributed normal random variables . The standard deviations of X and Y are 2.5 and 2.9 respectively and their correlation coefficient is 0.1. Find constant a (correct up to 3 decimal places) such that aX+Y and X+2Y are jointly normal and independent