In this question, you can use either the built-in Excel functions or the instructional templates to help answer the questions. Suppose that the number of power outages in a single rural household in a single day follows a Poisson distribution with parameter = 0.75. This implies that the expected number of outages in a single rural household in a single day is 0.75. Answer the following questions. In parts (c) to (e), also give the distribution(s) used and its parameters. (a) What is the probability that there are no power outages in a random rural household in a randomly selected day? In other words, what is the proportion of days with no outages? (b) Suppose the power service is investigated if three or more outages are detected in a random rural household in a day. Use the template to determine the proportion of days that the power service is investigated. 2 (c) Refer to part (b). What is the probability that the power service is not investigated for a randomly selected period of five consecutive weeks? (Assume the first day of the entire period is selected randomly and each day is independent of the other days.) (d) Refer