Question 1

A Poisson random variable is the number of successes that occur in a period of ____________________ or an interval of ____________________ in a Poisson experiment.

Accepted Answer

The answer of A Poisson random variable is the number...

Question 2

Let X be a Poisson random variable with $\mu$ = 6.Use the table of Poisson probabilities to calculate:
a.
P(X $\le$ 8)
b.
P(X = 8)
c.
P(X $\ge$ 5)
d.
P(6 $\le$ X $\le$ 10)

Accepted Answer

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

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.
-{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 receives...

Question 4

In the Poisson distribution, the mean is equal to the ____________________.

Accepted Answer

The answer of In the Poisson distribution, the mean is...

Question 5

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 at...

Question 6

In the Poisson distribution, the ____________________ is equal to the variance.

Accepted Answer

The answer of In the Poisson distribution, the ____________________ is...

Question 7

Compute the following Poisson probabilities (to 4 decimal places) using the Poisson formula:
a.
P(X = 3), if $\mu$= 2.5
b.
P(X $\le$ 1), if $\mu$ = 2.0
c.
P(X $\ge$ 2), if $\mu$ = 3.0

Accepted Answer

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

Question 8

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 at...

Question 9

In Poisson experiment, the probability of more than one success in an interval approaches ____________________ as the interval becomes smaller.

Accepted Answer

The answer of In Poisson experiment, the probability of more...

Question 10

Let X be a Poisson random variable with $\mu$ = 8.Use the table of Poisson probabilities to calculate:
a.
P(X $\le$6)
b.
P(X = 4)
c.
P(X$\ge$ 3)
d.
P(9$\le$ X $\le$ 14)

Accepted Answer

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

Question 11

A Poisson random variable is a(n) ____________________ random variable.

Accepted Answer

The answer of A Poisson random variable is a(n) ____________________...

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 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 receives...

Question 13

The possible values of a Poisson random variable start at ____________________.

Accepted Answer

The answer of The possible values of a Poisson random...

Question 14

In a Poisson experiment, the probability of a success in an interval is ____________________ to the size of the interval.

Accepted Answer

The answer of In a Poisson experiment, the probability of...

Question 15

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 at...

Question 16

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 at a...

Question 17

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 at a...

Question 18

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 at a...

Question 19

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 receives...

Question 20

The ____________________ of a Poisson distribution is the rate at which successes occur for a given period of time or interval of space.

Accepted Answer

The answer of The ____________________ of a Poisson distribution is...

Quiz 7: Random Variables and Discrete Probability Distributions

A Poisson random variable is the number of successes that occur in a period of or an interval of in a Poisson experiment.

Let X be a Poisson random variable with $\mu$ = 6.Use the table of Poisson probabilities to calculate: a. P(X $\le$ 8) b. P(X = 8) c. P(X $\ge$ 5) d. P(6 $\le$ X $\le$ 10)

In the Poisson distribution, the mean is equal to the ____________________.

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.

In the Poisson distribution, the ____________________ is equal to the variance.

Compute the following Poisson probabilities (to 4 decimal places) using the Poisson formula: a. P(X = 3), if $\mu$ = 2.5 b. P(X $\le$ 1), if $\mu$ = 2.0 c. P(X $\ge$ 2), if $\mu$ = 3.0

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.

In Poisson experiment, the probability of more than one success in an interval approaches ____________________ as the interval becomes smaller.

Let X be a Poisson random variable with $\mu$ = 8.Use the table of Poisson probabilities to calculate: a. P(X $\le$ 6) b. P(X = 4) c. P(X $\ge$ 3) d. P(9 $\le$ X $\le$ 14)

A Poisson random variable is a(n) ____________________ random variable.

The possible values of a Poisson random variable start at ____________________.

In a Poisson experiment, the probability of a success in an interval is ____________________ to the size of the interval.

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?

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.

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.

The ____________________ of a Poisson distribution is the rate at which successes occur for a given period of time or interval of space.

Quiz 7: Random Variables and Discrete Probability Distributions

A Poisson random variable is the number of successes that occur in a period of ____________________ or an interval of ____________________ in a Poisson experiment.

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

In the Poisson distribution, the mean is equal to the ____________________.

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.

In the Poisson distribution, the ____________________ is equal to the variance.

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

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.

In Poisson experiment, the probability of more than one success in an interval approaches ____________________ as the interval becomes smaller.

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

A Poisson random variable is a(n) ____________________ random variable.

The possible values of a Poisson random variable start at ____________________.

In a Poisson experiment, the probability of a success in an interval is ____________________ to the size of the interval.

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?

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.

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.

The ____________________ of a Poisson distribution is the rate at which successes occur for a given period of time or interval of space.

A Poisson random variable is the number of successes that occur in a period of or an interval of in a Poisson experiment.

Let X be a Poisson random variable with $\mu$ = 6.Use the table of Poisson probabilities to calculate: a. P(X $\le$ 8) b. P(X = 8) c. P(X $\ge$ 5) d. P(6 $\le$ X $\le$ 10)

Compute the following Poisson probabilities (to 4 decimal places) using the Poisson formula: a. P(X = 3), if $\mu$ = 2.5 b. P(X $\le$ 1), if $\mu$ = 2.0 c. P(X $\ge$ 2), if $\mu$ = 3.0

Let X be a Poisson random variable with $\mu$ = 8.Use the table of Poisson probabilities to calculate: a. P(X $\le$ 6) b. P(X = 4) c. P(X $\ge$ 3) d. P(9 $\le$ X $\le$ 14)