Question: Example 4.5 introduced the concept of time headway in traffic flow and proposed a particular distribution for X = the headway between two randomly selected

Example 4.5 introduced the concept of time headway in traffic flow and proposed a particular distribution for X = the headway between two randomly selected consecutive cars (sec). Suppose that in a different traffic environment, the distribution of time headway has the form

a. Determine the value of k for which f (x) is a legitimate pdf.
b. Obtain the cumulative distribution function.
c. Use the cdf from (b) to determine the probability that headway exceeds 2 sec and also the probability that headway is between 2 and 3 sec.
d. Obtain the mean value of headway and the standard deviation of headway.
e. What is the probability that headway is within 1 standard deviation of the mean value?

-r>1

Step by Step Solution

★★★★★

3.37 Rating (169 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a b Since distribution begins at 1 Put toge... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

1172-M-S-D-R-V(1060).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

Calculate the total lift force on the Arctic hut shown below as a function of the location of the opening. The lift force results from the difference between the inside pressure and the outside...

In Example 6.8, we introduced the concept of a censored experiment in which n components are put on test and the experiment terminates as soon as r of the components have failed. Suppose component...

Consider a random sample X1, X2,..., Xn from the shifted exponential pdf Taking u 5 0 gives the pdf of the exponential distribution considered previously (with positive density to the right of zero)....

For the Dupit Corp. case study introduced in Section 11.4, the management science team was able to apply a variety of queueing models by making the following simplifying approximation. Except for the...

13. Example 4.5 introduced the concept of time headway in traffic flow and proposed a particular distribution for X the headway between two randomly selected consecutive cars (sec). Suppose that in...

'Example 4.5 introduced the concept of time headway in trafc flow and proposed a particular distribution for X = the headway beIWeen tWo randomly Selected Consecutive cars (sec). Suppose that in a...

I'm not sure why my answer is not correct. ()last one only) Please explain your work briefly... :( "Time headway" in traffic flow is the elapsed time between the time that one car finishes passing a...

C For The... C Complet. C QUESTI... C Given T. C QUESTI. C For This. Module. MY NOTES ASK YOUR TEACHER "Time headway" in traffic flow is the elapsed time between the time that one car finishes...

........... "Time headway" in traffic flow is the elapsed time between the time that one car finishes passing a fixed point and the instant that the next car begins to pass that point. Let X = the...

answer all questions with explanation Q1. "Time headway" in traffic flow is the elapsed time between the time that one car finishes passing a fixed point and the instant that the next car begins to...

Gamma Company produces cars. Two of the profit centers, Tires center and Assembly center, were in conflict over the price of tires. External suppliers of tires offered Rania, the manager of the...

Rollon Inc. is comparing the operating costs of two types of equipment. The standard model costs $50,000 and will have a useful life of four years. Operating costs are expected to be $4,000 per year....

Evaluate the integral b y making the given substitution. ( R e m e m b e r t o use a b s o l u t e values where appropriate. Remember the constant o f integration. ) x 5 x 6 - 2 d x , u = x 6 - 2...

Sue died on May 3, 2013. On October 1, 2010, Sue gave Tom land valued at $2,013,000. Sue applied a unified credit of $330,800 against the gift tax due on this transfer. On Sue's date of death the...

Explain the difference between the estate tax treatment for gift taxes paid on gifts made two years before death and on gifts made ten years before death.

Explain how shares of stock traded on a stock exchange are valued. What is the blockage rule?

A salesperson makes four calls per day. A sample of 100 days gives the following frequencies of sales volumes. Records show sales are made to 30% of all sales calls. Assuming independent sales calls,...

Vertigo Company paid $10,000 on July 1, 2009, for a two-year insurance policy. It was recorded as prepaid insurance. Use the accounting equation to show the adjustment Vertigo will make to properly...

Solving a Tree Cutting Problem. Consider a hilly neighborhood where large trees provide shade but also block views. When a resident announces plans to cut down several trees to improve her view, her...

Does the color of a food or beverage affect the way people perceive its taste? In this activity you will conduct an experiment to investigate this question and analyze the resulting data using a...

There is evidence to suggest that human beings are not very good random number generators. In this activity, you will investigate this phenomenon by collecting and analyzing a set of human-generated...

The article Religion and Well-Being Among Canadian University Students: The Role of Faith Groups on Campus (Journal for the Scientific Study of Religion [1994]: 6273) compared the self-esteem of...

If n=440 and p (p-hat) =0.59, find the margin of error at a 9% confidence level Give your answer to three decimals

Match each box with the right letters given. John is the Project Manager for a an Application development project. The time duration for the project as agreed upon with all the Stakeholders is 12...

An investor can design a risk-free portfolio based on two stocks, A and B. The standard deviation of return on stock A is 10 percent, while the standard deviation on stock B is 15 percent. The...