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?

The cone in the diagram has the same height and base area as the prism. what is the ratio of the volume of the cone to the volume of the prism? h hl base area-b base area =b volume of cone_1 volume of prism 2 volume of cone 1 volume of prism 3 volume of cone 2 volume of prism 3 oc. od. volume of cone volume of prism e. volume of cone volume of prism 3 2