Pleasee help! This probability distribution shows the typical distribution of pitches thrown to a batter in a given "at-bat" in a baseball game. Å Pitches 1 2 3 4 5 Frequency 15 20 40 15 10 Find the probability that the pitcher will throw exactly 3 pitches to a batter. p = [?] ន Resta

The discrete random variables x and y take integer values with joint probability distribution given by f (x, y) = a(y−x+1) 0 ≤ x ≤ y ≤ 2 or =0 otherwise, where a is a constant. 1 tabulate the distribution and show that a = 0.1.2 find the marginal distributions of x and y. 3 calculate cov(x, y).4 state, giving a reason, whether x and y are independent. 5 calculate e(y|x = 1).