Question 1

Assuming a Poisson distribution, on the average, 6.7 cars arrive at the drive-up window of a bank every hour. Compute the probability that exactly 5 cars will arrive in the next hour.

Question 2

At a computer-consulting firm, the number of new clients that they have obtained each month has ranged from 0 to 6. The number of new clients has the probability distribution that is shown below. Determine the expected number of new clients per month.

# of Clients Probability

0 0.05

1 0.10

2 0.15

3 0.35

4 0.20

5 0.10

6 0.05

Question 3

Assuming a binomial distribution, four percent of the customers of a mortgage company default on their payments. A sample of five customers is selected. What is the probability that more than 2 customers in the sample will default on their payments?

Question 4

If P(A) = 0.68, P(A ∪ B) = 0.91, and P(A ∩ B) = 0.35, then P(B) =

Question 5

If A and B are independent events with P(A) = 0.05 and P(B) = 0.65, then P(A|B) =

Question 6

X is a normally distributed random variable with a mean of 22 and a standard deviation of 5. The probability that X is between 9.7 and 22 is

Question 7

A random variable X is exponentially distributed with a mean of 25.

What is the probability that X is between 25 and 30?

Question 8

X is a normally distributed random variable with a mean of 22 and a standard deviation of 5. The probability that X is between 17 and 27 is