In this question, you can use either the built-in Excel functions or the instructional templates to help answer the questions. In parts (a) and (b), also give the distribution(s) used and its parameters. (a) Suppose again that days are independent but now the number of outages in a single rural household in a single day follows a Poisson distribution with parameter = 1.75. What is the probability that the fifth day is the first one with no outages for a random rural household? (b) If the power company has already identified that the random rural household has gone three days with at least one outage in each day, what is the probability that the eighth day is the first one with no outage? Compare your results with probability obtained in part (a). Give a justification for your results.