6-45. Suppose the number of suicides in a certain locale is Poisson distributed with parameter λ = 2 per day, where X is the number of suicides per week.

What is the probability of exactly 10 suicides during this period? What is the probability of no more than eight suicides during this period? Find the probability of at least 10 suicides during this week. What is the probability of less than five suicides within this period? What is the expected number of suicides in the one-week period? What is the variance of this Poisson random variable?