3.Suppose that the average length of patient confinement in a hospital is 10 days, and the standard deviation is 2 days. On the assumption that such lengths are normally distributed: a)what is the probability that the next patient to be admitted today will stay longer than 2 weeks ? b)If there are 200 patients admitted today, how many of these patients will stay longer than 2 weeks? c)What is the 95th percentile of this distribution? 3.Suppose that the average length of patient confinement in a hospital is 10 days, and the standard deviation is 2 days. On the assumption that such lengths are normally distributed: a)what is the probability that the next patient to be admitted today will stay longer than 2 weeks ? b)If there are 200 patients admitted today, how many of these patients will stay longer than 2 weeks? c)What is the 95th percentile of this distribution