Question 4: The number of major snowstorms that hit Hamilton in a given winter season follows a binomial distribution with n = 3 and p = 0.6. Given that s snowstorms hit Hamilton in a winter season, the number of snowstorms that hit Toronto is the same number s with probability ,, s + 1 with probability , and s + 2 with probability . (a) Calculate the expected number of snowstorms that will hit Toronto in a winter season where Hamilton has 3 snowstorms. (b) Write down the probability mass function for the number of snowstorms in Toronto. (c) Do you feel the binomial distribution is an appropriate one for the number of snowstorms in a city during a particular winter season? Why or why not