Suppose that the number of students who visit the school office to get their calculator approved on a particular day has Poisson distribution with parameter 1 = 36. a) What is the standard deviation of the number of students asking to have their calculator approved on a particular day? (Enter your answer correct to 3 decimal places) b) In the long-run, in what proportion of days will the number of students asking to have their calculator approved exceed 49? (Enter your answer correct to 3 decimal places) c) In the long-run, in what proportion of days will the number of students asking to have their calculator approved be between 29 and 49, inclusive? (Enter your answer correct to 3 decimal places)