QUESTION 1 2 points Save Answer A coffee machine dispenses coffee and then hot water into cups. Let the amount of coffee dispensed (in ml) be given by the random variable C where C ~ N(40, 32). Let the amount of hot water dispensed (in ml) be given by the random variable W where W - N(150, 10-). Furthermore assume Cov(C,W) = -2. IF T = C + W then what is the variance of T? O a. 103 O b. 113 O c. 105 O d. 111 QUESTION 2 2 points Save Answer Let X & Y have the following joint probability distribution X 1 2 3 0.15 0.10 0.15 y 0.00 0.05 0.00 0.10 0.15 0.30 Find P(X=1| Y=0) give your answer as a decimal, correct to 3 decimal places