Example 1:Functions of random variables Let X be a random variable that takes value from 0 to 9 with equal probability 1/10. (a)Find the PMF of the random variable Y =X mod(3). X 0,3,6,9 1,47 2,5,8 Y 0 1 2 0=2/5 3/10 3/10 6Example 1: Functions of random variables • Let 𝑋 be a random variable that takes value from 0 to 9 with equal probability 1/10. • (a) Find the PMF of the random variable 𝑌 = 𝑋 𝑚𝑜𝑑(3). 6 X 0,3,6,9 1,4,7 2,5,8 Y 0 1 2 P 4 10 = 2/5 3/10 3/10