Question 1

911 Phone Calls 
911 phone calls arrive at the rate of 30 per hour at the local call center. ​ ​
-{911 Phone Calls Narrative} 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 2

911 Phone Calls 
911 phone calls arrive at the rate of 30 per hour at the local call center. ​ ​
-{911 Phone Calls Narrative} 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

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

Accepted Answer

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

Question 4

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 5

​ Post office 
The number of arrivals at a local post office between 3:00 and 5:00 P.M.has a Poisson distribution with a mean of 12. ​ ​
-{Post Office Narrative} 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 ​ Post office 
The number of arrivals...

Question 6

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. ​ ​
-{Unsafe Levels of Radioactivity Narrative} 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 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. ​ ​
-{Unsafe Levels of Radioactivity Narrative} 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. ​ ​
-{Unsafe Levels of Radioactivity Narrative} Find the variance of the number of incidents in one year.

Accepted Answer

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

Question 9

Let X be a Poisson random variable with μ = 6.Use the table of Poisson probabilities to calculate:
a.P(X ≤ 8)
b.P(X = 8)
c.P(X ≥ 5)
d.P(6 ≤ X ≤ 10)

Accepted Answer

The answer of Let X be a Poisson random variable...

Question 10

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. ​ ​
-{Classified Department Phone Calls Narrative} 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 11

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. ​ ​
-{Classified Department Phone Calls Narrative} 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 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. ​ ​
-{Classified Department Phone Calls Narrative} 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

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. ​ ​
-{Unsafe Levels of Radioactivity Narrative} 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 14

Let X be a Poisson random variable with μ = 8.Use the table of Poisson probabilities to calculate:
a.P(X ≤ 6)
b.P(X = 4)
c.P(X ≥ 3)
d.P(9 ≤ X ≤ 14)

Accepted Answer

The answer of Let X be a Poisson random variable...

Question 15

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. ​ ​
-{Unsafe Levels of Radioactivity Narrative} 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 16

Sports Fans 
Suppose that past history shows that 5% of college students are sports fans.A sample of 10 students is to be selected. ​ ​
-{Sports Fans Narrative} 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 17

Compute the following Poisson probabilities (to 4 decimal places)using the Poisson formula:
a.P(X = 3),if μ = 2.5
b.P(X ≤ 1),if μ = 2.0
c.P(X ≥ 2),if μ = 3.0

Accepted Answer

The answer of Compute the following Poisson probabilities (to 4...

Question 18

Sports Fans 
Suppose that past history shows that 5% of college students are sports fans.A sample of 10 students is to be selected. ​ ​
-{Sports Fans Narrative} 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 19

​ Post office 
The number of arrivals at a local post office between 3:00 and 5:00 P.M.has a Poisson distribution with a mean of 12. ​ ​
-{{Post Office Narrative} Find the probability that the number of arrivals between 4:00 and 5:00 P.M.is exactly two.

Accepted Answer

The answer of ​ Post office 
The number of arrivals...

Question 20

​ Post office 
The number of arrivals at a local post office between 3:00 and 5:00 P.M.has a Poisson distribution with a mean of 12. ​ ​
-{Post Office Narrative} 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 ​ Post office 
The number of arrivals...

Quiz 7: Random Variables and Discrete Probability Distributions

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

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

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?

Post office The number of arrivals at a local post office between 3:00 and 5:00 P.M.has a Poisson distribution with a mean of 12. -{Post Office Narrative} Find the probability that the number of arrivals between 3:00 and 5:00 P.M.is at least 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. -{Unsafe Levels of Radioactivity Narrative} 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. -{Unsafe Levels of Radioactivity Narrative} 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. -{Unsafe Levels of Radioactivity Narrative} Find the variance of the number of incidents in one year.

Let X be a Poisson random variable with μ = 6.Use the table of Poisson probabilities to calculate: a.P(X ≤ 8) b.P(X = 8) c.P(X ≥ 5) d.P(6 ≤ X ≤ 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. -{Unsafe Levels of Radioactivity Narrative} Find the probability that there will be at least 1 incident in a year.

Let X be a Poisson random variable with μ = 8.Use the table of Poisson probabilities to calculate: a.P(X ≤ 6) b.P(X = 4) c.P(X ≥ 3) d.P(9 ≤ X ≤ 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. -{Unsafe Levels of Radioactivity Narrative} Find the probability that there will be exactly 3 incidents 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. -{Sports Fans Narrative} A sample of 100 students is to be selected.What is the standard deviation of the number of sports fans you expect?

Compute the following Poisson probabilities (to 4 decimal places)using the Poisson formula: a.P(X = 3),if μ = 2.5 b.P(X ≤ 1),if μ = 2.0 c.P(X ≥ 2),if μ = 3.0

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

Post office The number of arrivals at a local post office between 3:00 and 5:00 P.M.has a Poisson distribution with a mean of 12. -{{Post Office Narrative} Find the probability that the number of arrivals between 4:00 and 5:00 P.M.is exactly two.

Post office The number of arrivals at a local post office between 3:00 and 5:00 P.M.has a Poisson distribution with a mean of 12. -{Post Office Narrative} Find the probability that the number of arrivals between 3:30 and 4:00 P.M.is at least 10.

Quiz 7: Random Variables and Discrete Probability Distributions

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

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

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?

​ Post office The number of arrivals at a local post office between 3:00 and 5:00 P.M.has a Poisson distribution with a mean of 12. ​ ​ -{Post Office Narrative} Find the probability that the number of arrivals between 3:00 and 5:00 P.M.is at least 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. ​ ​ -{Unsafe Levels of Radioactivity Narrative} 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. ​ ​ -{Unsafe Levels of Radioactivity Narrative} 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. ​ ​ -{Unsafe Levels of Radioactivity Narrative} Find the variance of the number of incidents in one year.

Let X be a Poisson random variable with μ = 6.Use the table of Poisson probabilities to calculate: a.P(X ≤ 8) b.P(X = 8) c.P(X ≥ 5) d.P(6 ≤ X ≤ 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. ​ ​ -{Unsafe Levels of Radioactivity Narrative} Find the probability that there will be at least 1 incident in a year.

Let X be a Poisson random variable with μ = 8.Use the table of Poisson probabilities to calculate: a.P(X ≤ 6) b.P(X = 4) c.P(X ≥ 3) d.P(9 ≤ X ≤ 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. ​ ​ -{Unsafe Levels of Radioactivity Narrative} Find the probability that there will be exactly 3 incidents 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. ​ ​ -{Sports Fans Narrative} A sample of 100 students is to be selected.What is the standard deviation of the number of sports fans you expect?

Compute the following Poisson probabilities (to 4 decimal places)using the Poisson formula: a.P(X = 3),if μ = 2.5 b.P(X ≤ 1),if μ = 2.0 c.P(X ≥ 2),if μ = 3.0

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

​ Post office The number of arrivals at a local post office between 3:00 and 5:00 P.M.has a Poisson distribution with a mean of 12. ​ ​ -{{Post Office Narrative} Find the probability that the number of arrivals between 4:00 and 5:00 P.M.is exactly two.

​ Post office The number of arrivals at a local post office between 3:00 and 5:00 P.M.has a Poisson distribution with a mean of 12. ​ ​ -{Post Office Narrative} 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. -{911 Phone Calls Narrative} 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. -{911 Phone Calls Narrative} If no calls are currently being processed,what is the probability that the desk employee can take four minutes break without being interrupted?

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

Post office The number of arrivals at a local post office between 3:00 and 5:00 P.M.has a Poisson distribution with a mean of 12. -{Post Office Narrative} Find the probability that the number of arrivals between 3:00 and 5:00 P.M.is at least 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. -{Unsafe Levels of Radioactivity Narrative} 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. -{Unsafe Levels of Radioactivity Narrative} 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. -{Unsafe Levels of Radioactivity Narrative} Find the variance of the number of incidents 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. -{Unsafe Levels of Radioactivity Narrative} Find the probability that there will be at least 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. -{Unsafe Levels of Radioactivity Narrative} Find the probability that there will be exactly 3 incidents 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. -{Sports Fans Narrative} A sample of 100 students is to be selected.What is the standard deviation of the number of sports fans you expect?

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

Post office The number of arrivals at a local post office between 3:00 and 5:00 P.M.has a Poisson distribution with a mean of 12. -{{Post Office Narrative} Find the probability that the number of arrivals between 4:00 and 5:00 P.M.is exactly two.

Post office The number of arrivals at a local post office between 3:00 and 5:00 P.M.has a Poisson distribution with a mean of 12. -{Post Office Narrative} Find the probability that the number of arrivals between 3:30 and 4:00 P.M.is at least 10.