(a) (5 points) If P(El|E2) = P(E2) then the events E1 and E2 are independent (True/False) (b) (10 points) Computer A sends a message to computer B over an unreliable radio link. The message is encoded so that B can detect when errors have been introduced into the message during transmission. If B detects an error, it requests A to retransmit it. If the probability of a message transmission success is p = 0.75. what is the probability that a message needs to be transmitted at least three times? (c) (10 points) We select four integers independently at random from the set {1, 2, 3, . .., 9, 10}. What is the probability that the first two numbers are less than or equal to 4, and the last two numbers are greater than or equal to 8