Suppose that joint pdf for Y1 and Y2 can be modeled by f(y1, y2) = (...

Question

Question

Suppose that joint pdf for Y1 and Y2 can be modeled by f(y1, y2) = ( 1 0 ≤ y1 ≤ c, 0 ≤ y2 ≤ 1, 2y2 ≤ y1 0 elsewhere

(a) Find the value of c to make this a legitimate joint probability distribution.

(b) Find P(Y1 ≥ 3Y2). This is the probability the cleaning device reduces the amount of pollutant by one-third or more.

Answer 1

Answer #1

Answer 2

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