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D Question 12 24 pts A small insurance company receives call per day from customers who want to lodge an insurance claim. All calls are handled by a call center agent. After receiving a phone call, the agent first checks if customer has all required information. If some information is missing, the call ends; otherwise, the agent registers claim. Denote by X the number of all calls and by Y the number of calls which have complete information. The joint probability mass function p(x, y) is given in the following table. y x y 0 1 2 0 04 0 0 X 16 10 0 2 20 .30 .20 1. Compute the covariance of X and Y. 2. Compute the correlation coefficient of X and Y. 3. Assume that it takes the agent 5 minutes to check if customer has all required information and additional 30 minutes to register a claim if information is complete. Denote by Z the time that the agent spends on answering these calls per day. Compute the mean and variance of Z. Upload Choose a File W 82 F Partly sunny O hp $12 import sc del $10 DDI 18 144 19 DII $5 0 f6 1 - back & $ % 8 O 5 6 U P R F G H K