Suppose it is observed that, on average, 35 people are admitted to the intensive care unit of a particular hospital every week. Let the random variable X represent the number of people admitted to this intensive care unit on any particular day.
a) What is the distribution of X?
b) What is the probability that the number of people admitted to this intensive care unit on a particular day is exactly 5?
c) What is the probability that the number of people admitted to this intensive care unit on a particular day is exactly 2?
d) What is the probability that the number of people admitted to this intensive care unit on a particular day is less than 2?