Reference no: EM132430930

Problem: The events R, G, B and Y respectively are the events that the red,green,blueand yellow warning lights on an indicator panel light up. The red lighti s lit if and only if the blue and yellow lights are simultaneously lit. The green light is lit if and only if neither the blue light nor the yellow light is lit. Assume that B and Y are independent and P(B) = p and P(Y ) = q, where 0 < p,q < 1.

Required:

Question 1: Find P(R) and P(G).

Question 2: Find the probability that the red light is on given that the blue light is on, P(R|B).

Question 3: What does it mean for two events to be independent?

Question 4: Show, using results from previous elements of this question, that events R and B are not independent.