4. Suppose that I fall sick an average of 12 times each year. Me falling sick in any time period will not affect the probability of me falling sick in any other time period. Assume that a month is exactly 1/12 of a year. (a) Over any given month, what is the probability that I don't fall sick at all? (b) Over a given month, what is the probability that I fall sick more than once? [0) What is the probability that I fall sick at least once in exactly 8 of the 12 months? (Hint: the months are independent of each other, and therefore we can use the ??distribution.)