Question: The maximum temperature reached on any day can be classified as above freezing (a success) or below freezing (a failure). In a certain city of eastern North America, January weather statistics indicate the probability a January day will be above freezing is 0.3. Use the binomial distribution to determine the following probabilities:
a. Exactly 2 of the next 7 January days will be above freezing.
b. More than 5 of the next 7 days will be above freezing.
c. There will be at least 1 day above freezing in the next 7 days.
d. All 7 days in the next week will be above freezing.
e. Is this a reasonable application of the binomial distribution? Why or why not?