Physical Sciences Of all cities in the United States, Amherst, New York, has the fewest number of days per year clear of clouds, 4.4. Other cities with very few clear days include Buffalo, New York, Lakewood, Washington, and Seattle, Washington. Suppose a random year is selected.

a. What is the probability that Amherst will have exactly three days clear of clouds?

b. What is the probability of fewer than six days clear of clouds?

c. What is the probability of at least nine days clear of clouds?

d. Suppose that between 2 and 10 (inclusive) days are clear of clouds. What is the probability of more than five days clear of clouds?