Question 1

If X has an exponential distribution,then f(x)approaches ____________________ as x approaches infinity.

Accepted Answer

The answer of If X has an exponential distribution,then f(x)approaches...

Question 2

Truck Salesman 
A used truck salesman in a small town states that,on the average,it takes him 5 days to sell a truck.Assume that the probability distribution of the length of time between sales is exponentially distributed. ​ ​
-{Truck Salesman Narrative} What is the probability that he will have to wait between 6 and 10 days before making another sale?

Accepted Answer

The answer of  Truck Salesman 
A used truck salesman...

Question 3

Truck Salesman 
A used truck salesman in a small town states that,on the average,it takes him 5 days to sell a truck.Assume that the probability distribution of the length of time between sales is exponentially distributed. ​ ​
-{Truck Salesman Narrative} What is the probability that he will have to wait at least 8 days before making another sale?

Accepted Answer

The answer of  Truck Salesman 
A used truck salesman...

Question 4

If X has an exponential distribution with parameter λ,then the mean of X is ______________.

Accepted Answer

The answer of If X has an exponential distribution with...

Question 5

Counter Sales
suppose that customers arrive at a counter at an avarage rate of three customers per minute and their arrivals follow the poisson model.
-{Counter Sales Narrative} Write the probability density function of the distribution of the time that will elapse before the next customer arrives.

Accepted Answer

The answer of Counter Sales
suppose that customers arrive at a...

Question 6

If X has an exponential distribution with parameter λ,then f(0)= ____________________.

Accepted Answer

The answer of If X has an exponential distribution with...

Question 7

Repair Time 
The time it takes a technician to fix a telephone problem is exponentially distributed with a mean of 15 minutes. ​ ​
-{Repair Time Narrative} What is the probability density function for the time it takes a technician to fix a telephone problem?

Accepted Answer

The answer of  Repair Time 
The time it takes...

Question 8

Repair Time 
The time it takes a technician to fix a telephone problem is exponentially distributed with a mean of 15 minutes. ​ ​
-{Repair Time Narrative} What is the probability that it will take a technician between 10 to 15 minutes to fix a telephone problem?

Accepted Answer

The answer of  Repair Time 
The time it takes...

Question 9

Counter Sales
suppose that customers arrive at a counter at an avarage rate of three customers per minute and their arrivals follow the poisson model.
-{Counter Sales Narrative} Use the appropriate exponential distribution to find the probability that the next customer will not arrive within the next 2 minutes.

Accepted Answer

The answer of Counter Sales
suppose that customers arrive at a...

Question 10

Let X be an exponential random variable with λ = 1.50.Find the following:
a.P(X ≥ 2)
b.P(X ≤ 4)
c.P(1 ≤ X ≤ 3)
d.P(X = 1)

Accepted Answer

The answer of Let X be an exponential random variable...

Question 11

The y-intercept of the density function for an exponential distribution with parameter 10 is ____________________.

Accepted Answer

The answer of The y-intercept of the density function for...

Question 12

Light Bulb Lifetime 
The lifetime of a light bulb (in hours)is exponentially distributed with λ = 0.008. ​ ​
-{Light Bulb Lifetime Narrative} Find the probability that a light bulb will last between 120 and 140 hours.

Accepted Answer

The answer of  Light Bulb Lifetime 
The lifetime of...

Question 13

If X has an exponential distribution,its ____________________ is equal to its ____________________.

Accepted Answer

The answer of If X has an exponential distribution,its ____________________...

Question 14

Let X be an exponential random variable with λ = 1.50.Find the following:
a.f(x)
b.The y-intercept of f(x)

Accepted Answer

The answer of Let X be an exponential random variable...

Question 15

Phone Orders
 The L.L.Bean catalog department that receives the majority of its orders by telephone conducted a study to determine how long customers were willing to wait on hold before ordering a product.The length of time was found to be a random variable best approximated by an exponential distribution with a mean equal to 3 minutes.
-{Phone Orders Narrative} What is the value of λ,the parameter of the exponential distribution in this situation?

Accepted Answer

The answer of Phone Orders
 The L.L.Bean catalog department that...

Question 16

Light Bulb Lifetime 
The lifetime of a light bulb (in hours)is exponentially distributed with λ = 0.008. ​ ​
-{Light Bulb Lifetime Narrative} What is the mean and standard deviation of the light bulb's lifetime?

Accepted Answer

The answer of  Light Bulb Lifetime 
The lifetime of...

Question 17

Suppose X has an exponential distribution with mean 2.Find f(x).

Accepted Answer

The answer of Suppose X has an exponential distribution with...

Question 18

Repair Time 
The time it takes a technician to fix a telephone problem is exponentially distributed with a mean of 15 minutes. ​ ​
-{Repair Time Narrative} What is the probability that it will take a technician less than 10 minutes to fix a telephone problem?

Accepted Answer

The answer of  Repair Time 
The time it takes...

Question 19

Counter Sales
suppose that customers arrive at a counter at an avarage rate of three customers per minute and their arrivals follow the poisson model.
-{Counter Sales Narrative} Use the appropriate exponential distribution to find the probability that the next customer will arrive within 1.5 minutes.

Accepted Answer

The answer of Counter Sales
suppose that customers arrive at a...

Question 20

Repair Time 
The time it takes a technician to fix a telephone problem is exponentially distributed with a mean of 15 minutes. ​ ​
-{Repair Time Narrative} What is the variance of the time it takes a technician to fix a telephone problem?

Accepted Answer

The answer of  Repair Time 
The time it takes...

Quiz 8: Continuous Probability Distributions

If X has an exponential distribution,then f(x)approaches ____________________ as x approaches infinity.

If X has an exponential distribution with parameter λ,then the mean of X is ______________.

Counter Sales suppose that customers arrive at a counter at an avarage rate of three customers per minute and their arrivals follow the poisson model. -{Counter Sales Narrative} Write the probability density function of the distribution of the time that will elapse before the next customer arrives.

If X has an exponential distribution with parameter λ,then f(0)= ____________________.

Repair Time The time it takes a technician to fix a telephone problem is exponentially distributed with a mean of 15 minutes. -{Repair Time Narrative} What is the probability density function for the time it takes a technician to fix a telephone problem?

Repair Time The time it takes a technician to fix a telephone problem is exponentially distributed with a mean of 15 minutes. -{Repair Time Narrative} What is the probability that it will take a technician between 10 to 15 minutes to fix a telephone problem?

Let X be an exponential random variable with λ = 1.50.Find the following: a.P(X ≥ 2) b.P(X ≤ 4) c.P(1 ≤ X ≤ 3) d.P(X = 1)

The y-intercept of the density function for an exponential distribution with parameter 10 is ____________________.

Light Bulb Lifetime The lifetime of a light bulb (in hours)is exponentially distributed with λ = 0.008. -{Light Bulb Lifetime Narrative} Find the probability that a light bulb will last between 120 and 140 hours.

If X has an exponential distribution,its is equal to its .

Let X be an exponential random variable with λ = 1.50.Find the following: a.f(x) b.The y-intercept of f(x)

Light Bulb Lifetime The lifetime of a light bulb (in hours)is exponentially distributed with λ = 0.008. -{Light Bulb Lifetime Narrative} What is the mean and standard deviation of the light bulb's lifetime?

Suppose X has an exponential distribution with mean 2.Find f(x).

Repair Time The time it takes a technician to fix a telephone problem is exponentially distributed with a mean of 15 minutes. -{Repair Time Narrative} What is the probability that it will take a technician less than 10 minutes to fix a telephone problem?

Repair Time The time it takes a technician to fix a telephone problem is exponentially distributed with a mean of 15 minutes. -{Repair Time Narrative} What is the variance of the time it takes a technician to fix a telephone problem?

Quiz 8: Continuous Probability Distributions

If X has an exponential distribution,then f(x)approaches ____________________ as x approaches infinity.

If X has an exponential distribution with parameter λ,then the mean of X is ______________.

Counter Sales suppose that customers arrive at a counter at an avarage rate of three customers per minute and their arrivals follow the poisson model. -{Counter Sales Narrative} Write the probability density function of the distribution of the time that will elapse before the next customer arrives.

If X has an exponential distribution with parameter λ,then f(0)= ____________________.

Repair Time The time it takes a technician to fix a telephone problem is exponentially distributed with a mean of 15 minutes. ​ ​ -{Repair Time Narrative} What is the probability density function for the time it takes a technician to fix a telephone problem?

Repair Time The time it takes a technician to fix a telephone problem is exponentially distributed with a mean of 15 minutes. ​ ​ -{Repair Time Narrative} What is the probability that it will take a technician between 10 to 15 minutes to fix a telephone problem?

Let X be an exponential random variable with λ = 1.50.Find the following: a.P(X ≥ 2) b.P(X ≤ 4) c.P(1 ≤ X ≤ 3) d.P(X = 1)

The y-intercept of the density function for an exponential distribution with parameter 10 is ____________________.

Light Bulb Lifetime The lifetime of a light bulb (in hours)is exponentially distributed with λ = 0.008. ​ ​ -{Light Bulb Lifetime Narrative} Find the probability that a light bulb will last between 120 and 140 hours.

If X has an exponential distribution,its ____________________ is equal to its ____________________.

Let X be an exponential random variable with λ = 1.50.Find the following: a.f(x) b.The y-intercept of f(x)

Light Bulb Lifetime The lifetime of a light bulb (in hours)is exponentially distributed with λ = 0.008. ​ ​ -{Light Bulb Lifetime Narrative} What is the mean and standard deviation of the light bulb's lifetime?

Suppose X has an exponential distribution with mean 2.Find f(x).

Repair Time The time it takes a technician to fix a telephone problem is exponentially distributed with a mean of 15 minutes. ​ ​ -{Repair Time Narrative} What is the probability that it will take a technician less than 10 minutes to fix a telephone problem?

Repair Time The time it takes a technician to fix a telephone problem is exponentially distributed with a mean of 15 minutes. ​ ​ -{Repair Time Narrative} What is the variance of the time it takes a technician to fix a telephone problem?

Repair Time The time it takes a technician to fix a telephone problem is exponentially distributed with a mean of 15 minutes. -{Repair Time Narrative} What is the probability density function for the time it takes a technician to fix a telephone problem?

Repair Time The time it takes a technician to fix a telephone problem is exponentially distributed with a mean of 15 minutes. -{Repair Time Narrative} What is the probability that it will take a technician between 10 to 15 minutes to fix a telephone problem?

Light Bulb Lifetime The lifetime of a light bulb (in hours)is exponentially distributed with λ = 0.008. -{Light Bulb Lifetime Narrative} Find the probability that a light bulb will last between 120 and 140 hours.

If X has an exponential distribution,its is equal to its .

Light Bulb Lifetime The lifetime of a light bulb (in hours)is exponentially distributed with λ = 0.008. -{Light Bulb Lifetime Narrative} What is the mean and standard deviation of the light bulb's lifetime?

Repair Time The time it takes a technician to fix a telephone problem is exponentially distributed with a mean of 15 minutes. -{Repair Time Narrative} What is the probability that it will take a technician less than 10 minutes to fix a telephone problem?

Repair Time The time it takes a technician to fix a telephone problem is exponentially distributed with a mean of 15 minutes. -{Repair Time Narrative} What is the variance of the time it takes a technician to fix a telephone problem?