[Solved] CUNY605 Assignment5

Choose independently two numbers B and C at random from the interval [0, 1] with uniform density. Prove that B and C are proper probability distributions. Note that the point (B,C) is then chosen at random in the unit square.

Find the probability that

2. a) B + C < 1/2.

(c) |B C| < 1/2.

d) max{B,C} < 1/2.

e) ) min{B,C} < 1/2.