Let x1~ exp(1) and x2 ~ exp(1) be independent and identically-distributed exponential random variables with rate 1.

let: y = x1 + x2 , z = x1 − x2

(a) what is the cdf of x1?

(b) what is the joint pdf of (x1, x2)?

(c) what is the joint pdf of (y, z)?

(d) what is the marginal pdf of z?

Gabriel paints flower pots to sell at a craft fair. she paints 2/5 of a flower pot teal, 1/4 of it yellow, and the rest of it white. what fraction of the pot is painted either teal or yellow?

The speed of a falling object increases at a constant rate as time increases since the object was dropped. which graph could represent the relationship betweent time in seconds, and s, speed in meters per second? speed of a falling object object over time

Determine whether the points (–3,–6) and (2,–8) are in the solution set of the system of inequalities below. x ? –3 y < 5? 3x + 2 a. the point (–3,–6) is not in the solution set, and the point (2,–8) is in the solution set. b. neither of the points is in the solution set. c. the point (–3,–6) is in the solution set, and the point (2,–8) is not in the solution set. d. both points are in the solution set.