Subject :- Probability and Stochastic Processes

Question No. 1 (10+10+5 = 25 marks) Let X be a discrete random variable with values as given in the following table. X -3 -2 -1 0 2 3 4 5 6 7 Pr(X) 0.09 0 0.08 0.15 0.06 0.13 0.09 0.2 0.11 0 0.09 Let Y be a discrete random variable defined as Y = [X - 5). 1. Draw probability Mass Function (PMF) for Y; 2. Calculate its Expected Value (EV) by using following any one tool and give a snapshot. Note: Please visit the following download link for useful links of recommended tools/or see the download section of VULMS https://vulms.vu.edu.pk/Courses/CS723/Downloads/recommended%20Tools.docx