(20 points) Let Y be a random variable for which Prob(Y= k) = c(1/3)k for k = 0, 1, 2, ... . a. Compute c. b. Determine
Posted: Wed Jul 06, 2022 12:20 pm
(20 points) Let Y be a random variable for which Prob(Y= k) = c(1/3)k for k = 0, 1, 2, ... . a. Compute c. b. Determine Prob(Y is even). c. Determine Prob(Y is a power of 4). d. Determine Prob(Y is a power of 4 Hint: Recall that for any real number x € (-1, 1) we have that is even). 1 + x + x² + x³ + = Σa Ich Ji = 1 1-x