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