Question 1

Find the probability that the number of arrivals between 3:30 and 4:00 P.M. is at least 10.

Accepted Answer

The answer of Find the probability that the number of...

Question 2

911 Phone Calls: 911 phone calls arrive at the rate of 30 per hour at the local call center.
-If no calls are currently being processed, what is the probability that the desk employee can take four minutes break without being interrupted?

Accepted Answer

The answer of 911 Phone Calls: 911 phone calls arrive...

Question 3

Classified Department Phone Calls: A classified department receives an average of 10 telephone calls each afternoon between 2 and 4 P.M. The calls occur randomly and independently of one another.
-Find the probability that the department will receive at least five calls between 2 and 4 P.M. on a particular afternoon.

Accepted Answer

The answer of Classified Department Phone Calls: A classified department...

Question 4

Sports Fans: Suppose that past history shows that 5% of college students are sports fans. A sample of 10 students is to be selected.
-A sample of 100 students is to be selected. What is the average number that you would expect to sports fan?

Accepted Answer

The answer of Sports Fans: Suppose that past history shows...

Question 5

Unsafe Levels of Radioactivity: The number of incidents at a nuclear power plant has a Poisson distribution with a mean of 6 incidents per year.
-Find the standard deviation of the number of incidents is in one year.

Accepted Answer

The answer of Unsafe Levels of Radioactivity: The number of...

Question 6

Classified Department Phone Calls: A classified department receives an average of 10 telephone calls each afternoon between 2 and 4 P.M. The calls occur randomly and independently of one another.
-Find the probability that the department will receive 13 calls between 2 and 4 P.M. on a particular afternoon.

Accepted Answer

The answer of Classified Department Phone Calls: A classified department...

Question 7

Unsafe Levels of Radioactivity: The number of incidents at a nuclear power plant has a Poisson distribution with a mean of 6 incidents per year.
-Find the probability that there will be no more than 1 incident in a year.

Accepted Answer

The answer of Unsafe Levels of Radioactivity: The number of...

Question 8

Unsafe Levels of Radioactivity: The number of incidents at a nuclear power plant has a Poisson distribution with a mean of 6 incidents per year.
-Find the probability that there will be exactly 3 incidents in a year.

Accepted Answer

The answer of Unsafe Levels of Radioactivity: The number of...

Question 9

Unsafe Levels of Radioactivity: The number of incidents at a nuclear power plant has a Poisson distribution with a mean of 6 incidents per year.
-Find the probability that there will be at least 3 incidents in a year.

Accepted Answer

The answer of Unsafe Levels of Radioactivity: The number of...

Question 10

Unsafe Levels of Radioactivity: The number of incidents at a nuclear power plant has a Poisson distribution with a mean of 6 incidents per year.
-Find the probability that there will be at least 1 incident in a year.

Accepted Answer

The answer of Unsafe Levels of Radioactivity: The number of...

Question 11

Sports Fans: Suppose that past history shows that 5% of college students are sports fans. A sample of 10 students is to be selected.
-A sample of 100 students is to be selected. What is the standard deviation of the number of sports fans you expect?

Accepted Answer

The answer of Sports Fans: Suppose that past history shows...

Question 12

Classified Department Phone Calls: A classified department receives an average of 10 telephone calls each afternoon between 2 and 4 P.M. The calls occur randomly and independently of one another.
-Find the probability that the department will receive seven calls between 2 and 3 P.M. on a particular afternoon.

Accepted Answer

The answer of Classified Department Phone Calls: A classified department...

Question 13

Suppose that the number of buses arriving at a Depot per minute is a Poisson process. If the average number of buses arriving per minute is 3, what is the probability that exactly 6 buses arrive in the next minute?

Accepted Answer

The answer of Suppose that the number of buses arriving...

Question 14

Unsafe Levels of Radioactivity: The number of incidents at a nuclear power plant has a Poisson distribution with a mean of 6 incidents per year.
-Find the variance of the number of incidents in one year.

Accepted Answer

The answer of Unsafe Levels of Radioactivity: The number of...

Question 15

Find the probability that the number of arrivals between 3:00 and 5:00 P.M. is at least 10.

Accepted Answer

The answer of Find the probability that the number of...

Question 16

911 Phone Calls: 911 phone calls arrive at the rate of 30 per hour at the local call center.
-Find the probability of receiving two calls in a five-minute interval of time.

Accepted Answer

The answer of 911 Phone Calls: 911 phone calls arrive...

Question 17

911 Phone Calls: 911 phone calls arrive at the rate of 30 per hour at the local call center.
-Find the probability of receiving exactly eight calls in 15 minutes.

Accepted Answer

The answer of 911 Phone Calls: 911 phone calls arrive...

Question 18

Find the probability that the number of arrivals between 4:00 and 5:00 P.M. is exactly two.

Accepted Answer

The answer of Find the probability that the number of...

Quiz 6: Random Variables and Discrete Probability Distributions

Find the probability that the number of arrivals between 3:30 and 4:00 P.M. is at least 10.

911 Phone Calls: 911 phone calls arrive at the rate of 30 per hour at the local call center. -If no calls are currently being processed, what is the probability that the desk employee can take four minutes break without being interrupted?

Sports Fans: Suppose that past history shows that 5% of college students are sports fans. A sample of 10 students is to be selected. -A sample of 100 students is to be selected. What is the average number that you would expect to sports fan?

Unsafe Levels of Radioactivity: The number of incidents at a nuclear power plant has a Poisson distribution with a mean of 6 incidents per year. -Find the standard deviation of the number of incidents is in one year.

Unsafe Levels of Radioactivity: The number of incidents at a nuclear power plant has a Poisson distribution with a mean of 6 incidents per year. -Find the probability that there will be no more than 1 incident in a year.

Unsafe Levels of Radioactivity: The number of incidents at a nuclear power plant has a Poisson distribution with a mean of 6 incidents per year. -Find the probability that there will be exactly 3 incidents in a year.

Unsafe Levels of Radioactivity: The number of incidents at a nuclear power plant has a Poisson distribution with a mean of 6 incidents per year. -Find the probability that there will be at least 3 incidents in a year.

Unsafe Levels of Radioactivity: The number of incidents at a nuclear power plant has a Poisson distribution with a mean of 6 incidents per year. -Find the probability that there will be at least 1 incident in a year.

Sports Fans: Suppose that past history shows that 5% of college students are sports fans. A sample of 10 students is to be selected. -A sample of 100 students is to be selected. What is the standard deviation of the number of sports fans you expect?

Suppose that the number of buses arriving at a Depot per minute is a Poisson process. If the average number of buses arriving per minute is 3, what is the probability that exactly 6 buses arrive in the next minute?

Unsafe Levels of Radioactivity: The number of incidents at a nuclear power plant has a Poisson distribution with a mean of 6 incidents per year. -Find the variance of the number of incidents in one year.

Find the probability that the number of arrivals between 3:00 and 5:00 P.M. is at least 10.

911 Phone Calls: 911 phone calls arrive at the rate of 30 per hour at the local call center. -Find the probability of receiving two calls in a five-minute interval of time.

911 Phone Calls: 911 phone calls arrive at the rate of 30 per hour at the local call center. -Find the probability of receiving exactly eight calls in 15 minutes.

Find the probability that the number of arrivals between 4:00 and 5:00 P.M. is exactly two.