Question

Problem 1. (6pt) A discrete random variable X can take one of three different values z1, z and z probabilities ¼, ½ and ¼ respectively, and another random variable Y can 1. 32 and ys, also with probabilities 4V2 and /4, respectively, as shown in the the relative frequency with which some of those values are jointly taken is also shown in the following table with take one of three distinct values P2 P14 (a) (Spt) From the data given in the table, determine the joint probability mass function of X and Y, by (b) (ept) Determine whether the random variables X and Y are correlated, or uncorrelated with each other (c) (Ipt) Determine whether the random variables X and Y are independent with each other, you must provide filling in the joint probabilities in the six boxes with missing entries in the above table. you must provide your reasoning

Answer 1