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 averages 3.6 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?

Production records indicate that 1.8% of the light bulbs produced in a facility are defective. A random sample of 35 light bulbs was selected.

a. Use the binomial distribution to determine the probability that fewer than three defective bulbs are found.

b. Use the Poisson approximation to the binomial distribution to determine the probability that fewer than three defective bulbs are found.

c. How do these two probabilities compare?

An urn contains five blue balls and seven yellow balls. If six balls are selected randomly without being replaced, what is the probability that of the balls selected, four of them will be blue and two of them will be yellow?

The first Nabisco factory for Oreo cookies baked Oreos one at a time. The production process was being inspected and the plant manager found the mean number of cookies baked per minute was 7.3

a. What is the probability that in any particular minute being inspected less than five cookies were baked?

The probability that less than five cookies were baked is

(Round to four decimal places as needed.)

b. What is the probability that exactly five cookies were baked?

The probability that exactly five cookies were baked is

(Round to four decimal places as needed.)

c. What is the probability that five or more cookies were baked?

The probability that five or more cookies were baked is

(Round to four decimal places as needed.)