Throughout the summer months of June, July, and August, an average of 5 marriages per month take place in a small city. Assuming that these marriages occur randomly and independently of one another, and the following:
a) The probability that 4 marriages will occur in June.
b) The probability that between 14 and 16 marriages (inclusive) will occur over the 3 months of June, July, and August.
c) The probability that at least 1 marriage will happen in a week of June (assume a month has 30 days).