Concept: Poisson distribution

1. A particular intersection in a small town is equipped with a surveillance camera. The number of traffic tickets issued to drivers passing through the intersection follows the Poisson distribution and averages 4.9 per month.
a.) What is the probability that 5 traffic tickets will be issued at the intersection next month?
b.) What is the probability that 3 or fewer traffic tickets will be issued at the intersection next month?
c.) What is the probability that more than 6 traffic tickets will be issued at the intersection next month?

Concept of binomial distribution:

2. According to an article, 40% of adults have experienced a breakup at least once during the last 10years. Of 9 randomly selected adults, find the probability that the number, x, who have experienced a breakup at least once during the last 10 years is

a) Exactly 5, At most 5, At least 5
b) At least 1, At most 1
c) Between 6 and 8, inclusive
d) Describe the probability distribution of X.