Consider the set of points in the set C: C={(x, y)|x, y∈ℤ,x2+|y|≤2}. Suppose that we pick a point (X, Y) from this set completely at random. Thus, each point has a probability of 111 of being chosen. Find the joint and marginal PMFs of X and Y. Find the conditional PMF of X given Y=1. Are X and Y independent? Find E[XY2].

Exclude leap years from the following calculations. (a) compute the probability that a randomly selected person does not have a birthday on october 4. (type an integer or a decimal rounded to three decimal places as needed.) (b) compute the probability that a randomly selected person does not have a birthday on the 1st day of a month. (type an integer or a decimal rounded to three decimal places as needed.) (c) compute the probability that a randomly selected person does not have a birthday on the 30th day of a month. (type an integer or a decimal rounded to three decimal places as needed.) (d) compute the probability that a randomly selected person was not born in january. (type an integer or a decimal rounded to three decimal places as needed.)

Which graph correctly represents the equation  y=−4x−3? guys me iam not trying to fail summer school and will offer 40 points for who ever me with the next 3 problems and will give brainlest

Of the 27 players trying out for the school basketball team, 8 are more than 6 feet tall and 7 have good aim. what is the probability that the coach would randomly pick a player over 6 feet tall or a player with a good aim? assume that no players over 6 feet tall have good aim. a. b. c. d.