(a) let (x, y ) denote a uniformly chosen random point inside the unit square [0, 1]2 = [0, 1] × [0, 1] = {(x, y) : 0 ≤ x, y ≤ 1}. let 0 ≤ a < b ≤ 1. find the probability p(a < x < b), that is, the probability that the x-coordinate x of the chosen point lies in the interval (a, b). (b) what is the probability p(|x − y | ≤ 1/4)?

step-by-step explanation:

this is not a question

the answer is a. 72. but i cant answer with less than 20 characters so here's some random text talking about it.

answer: the correct option is d.

explanation:

it is given that the triangle j'k'l' shown on the grid below is a dilation of triangle jkl using the origin as the center of dilation.

from the given graph it is noticed that k(4,8) and k'(2,4). let origin is defined by o and scale factor is defined by k, then

    (1)

distance formula,

put these values in equation (1).

therefore scale factor is     and option d is correct.