Suppose the chance of snow in a city in the northeast is 20% on any given day in the winter and the chance of snow from one day to the next is independent.

1. What is the probability that the 1^stsnowfall occurs on the 7^thday of the month? (Round to three decimal places.)

2. What is the probability that 3^rdsnowfall occurs on the 14^thday of the month? (Round to three decimal places.)

3. What is the expected number of days before the 5^thsnowy day? places.)

4.In a 6 day period, what is the probability it snows on at least one day? (Round to three decimal places.)