QUESTION 3 [2.5 points) Suppose a digital communications channel has a probability of bit error of p, where all errors a

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QUESTION 3 [2.5 points) Suppose a digital communications channel has a probability of bit error of p, where all errors are independent of each other. If you transmit N bits, whats the probability that exactly k bits are received incorrectly? (If you show your work, you may receive partial credit.) ^ (W) ox-k (2-0) B.p*-1 (1-P) (1-0)* E None of the above QUESTION 4 2.5 points] Let X and Y are independent continuous random variables, each with pdf for Os x51 Osysi ( 4xy San and Submit to save and submit. Click Save All Ansters to save all answers. Save MacBook Pro 5 0 6 7 V

QUESTION 1 [2.5 points) Suppose X is a random variable with zero mean and variance 1, and Y is a random variable with mean 1 and variance 4, and suppose the correlation coefficient between X and Y is 1/2. Find Var(X+Y). A8 3.6 c. 7 2. D.7 E 1 IN WESTION 2 points) Bob and Carol meet every Wednesday to play a table tennis match. If the probability that Bob win scular game is 0.6, what is the probability that in the first 10 games. und Submit to save and submit. Click Save All Answers to save all answers MacBook Pro

QUESTION 4 (2.5 points) Let X and Y are independent continuous random variables, each with pdf 4xy for OSX 1.0sysl otherwise Compute p(x+Y51). A 1 6 3. 2 c. 1 D. E1 Chiot Sone and Submit to see and submit. Click Save All Ansters to see all ansters MacBook Pro $ 3 4 € 5 0 6 17 18

07 QUESTION 2 12.5 points) Bob and Carol meet every Wednesday to play a table tennis match. If the probability that Bob wins any particular game is 0.6, what is the probability that in the first 10 games. Hint: Here use the Binomial probability mass function. (0) Carol wins at most two games? A 0.0600 B. 0.0403 0.1209 0.0.1672 E. 0.0060 fick Save and Submit to save and submit. Click Save All Answers to save all answers MacBook Pro & % 5 0 3 ۳ 4 E 6 7 7 V 8 N