Input your answers or upload an image file or pdf le. ll. Solve what is being ask. Show your complete solution. 1. Find the mean and the variance and standard deviation of the random variable X whose probability mass function is given below: Correct Answers 6 pts. Solution 9 pts. X 0 l 2 3 4 5 P [X] 0.05 0.05 0.15 0.20 0.25 0.30 2. A box contains one P20 bill. one P50 bill. one P100 bill. one #500 bill. and one $1.000 bill. Two bills are drawn in succession and without replacement from the box. Let the random variable Z the total monetary value of the two bills. Construct the probability mass function and solve for the mean. variance and standard deviation of Z. Final Correct Answers 6 pts. Solution I4 pts