CAPE Instruction: Read and analyse the following problems carefully. Write your answer after eat Gaga} question. SENIOI 1. Suppose that I fall sick an average of 12 times each year. I falling sick in any time period will not probability of me failing sick In any other time peiod. Assume that a month is exactly 1f12 of a yeal a) Over any given month, what is the probabiilty that I don't fall sick at all? (b) Over a given month, what is the probability that] fall sick more than once? (0.2642) 2. At a customer call center, 2331 call CEI'ItBI' employee has customer complaints coming In at an average Of 2 per hour. We observe the activities of the employees at the call center for a period of 45 minutes. Calls are randomly assigned to employees, so that the empioyees' activities are independent of each other. (a) Let Y be the random variable denoting the number of calls that come in over the 45-minute period for a selected employee. What Is the expected value and standard deviation of Y? (b) what is the probability that an employee receives no new calls during this 45- minute period? (c) An employee is overwhelmed if more than 1 call comes in over the 45-minute period. What is the probability that an employee is ovenvhelmed