The joint density of X, the total time (in minutes) between an automobiles arrival in the service

Question:

The joint density of X, the total time (in minutes) between an automobile’s arrival in the service queue and its leaving the system after servicing, and Y, the time (in minutes) the car waits in the queue before being serviced, is

a. Find the value of c that makes f (x, y) a probability density function.
b. Find the marginal density for X and show that

c. Show that the conditional density for Y given X is a uniform distribution over the interval 0 ≤ Y ≤ X.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For answer-question

Statistics For Engineering And The Sciences

ISBN: 9781498728850

6th Edition

Authors: William M. Mendenhall, Terry L. Sincich

See More Books

Question Posted: Apr 13, 2021 07:43 AM

See More Questions

The joint density of X and Y is f(x, y) = 2x/9y, for 0 < x < 3, 1 < y < e. (a) Are X and Y independent? (b) Find the joint cumulative distribution function. (c) Find P(1 < X < 2, Y > 2).
The joint density of X and Y is f(x, y) = 2e (x+2y) , for x > 0, y > 0. (a) Find the joint cumulative distribution function. (b) Find the cumulative distribution function of X. (c) Find P(X < Y).
The joint density of X and Y is f(x, y) = ce 2y , for 0 < x < y < . (a) Find c. (b) Find the marginal densities of X and Y . Do you recognize either of these distributions? (c) Find P(Y < 2X).
What are the four key building blocks of financial statement analysis? a. Liquidity and efficiency, solvency, profitability, and market b. Liquidity and efficiency, solvency, profitability, and...
Dave consumes only two goods, coffee and doughnuts. When the price of coffee falls, he buys the same amount of coffee and more doughnuts. a) On an optimal choice diagram (with budget lines and...
The Guitar Shoppe reports the following sales forecast: August, $150,000; September, $170,000. Cash sales are normally 40% of total sales, 55% of credit sales are collected in the month following...
What is the expectations gap?
M. Cotteleer Electronics supplies microcomputer circuitry to a company that incorporates microprocessors into refrigerators and other home appliances. One of the components has an annual demand of...
Figure 1 shows a flowchart of nested if. Produce a java programming code segment of the flowchart. Start False True True Fine=0.00 Speed-110 Speed 120 Fine - 120 True Figure 1 False True Speed <130...
This unadjusted trial balance is for Challenger Construction at the end of its fiscal year, September 30, 2014. The beginning balance of the owner's capital account was $46,000 and the owner invested...
In building construction, a truss is a structure comprised of triangular units whose ends are connected at joints referred to as nodes. The Journal of Engineering Mechanics (Dec. 2009) published a...
Refer to the Journal of Engineering for Industry (May 1993) study of friction feed paper separation, Exercise 5.12. Consider a system that utilizes two interrelated feed paper separators. The joint...
A two-tailed test allows one to test for a positive or a negative effect of the ____ on the ____.
Water is being pushed through a pipe that has a 5 cm diameter at a rate of 2.0 cm/s. The pipe then enters a constriction as goes down to a smaller pipe of 3.0 cm in diameter. How fast is the water...
A ball with a mass of 0.50 kg and a speed of 6 m/s collides perpendicularly with a wall and bounces off with a speed of 4 m/s in the opposite direction. What is the magnitude of the impulse acting on...
A light source with an intensity I, is shining on a sequence of polarizers. What will be the intensity on the other side of the first polarizer? Now imagine that you place a second polarizer behind...
You are thinking about taking gymnastics, so you go to the facility and get an idea of what to expect by looking out from the viewing room. The viewing room window is 2.00 m above the trampoline...
Two spherical, nonconducting, and very thin shells of uniformly distributed positive charge Q and radius d are located a distance 12d from each other. A positive point charge q is placed inside one...
Draw Fischer projections of L-glucose and L-fructose.
Akramin just graduated with a Master of Engineering in Manufacturing Engineering and landed a new job in Melaka with a starting salary of RM 4,000 per month. There are a number of things that he...
The article "Exhaust Emissions from Four-Stroke Lawn Mower Engines" (J. of the Air and Water Mgmnt. Assoc., 1997: 945-952) reported data from a study in which both a baseline gasoline mixture and a...
The bond behavior of reinforcing bars is an important determinant of strength and stability. The article "Experimental Study on the Bond Behavior of Reinforcing Bars Embedded in Concrete Subjected to...
Wrinkle recovery angle and tensile strength are the two most important characteristics for evaluating the performance of cross-linked cotton fabric. An increase in the degree of cross-linking, as...
Rework Problem 9.18 for MARR = 15%. Ans. NPVA = -$3003.40, NPVB = 0, NPVc = -$21527.68; proposals A and C are unacceptable and proposal B is barely acceptable.
Does the advising banWho is the party that creates the conditions and issues the letter of credit, and then makes the payment according to the conditions? Question 12 options: 1) The applicant 2) The...
to add to that the company demands a minimum 20% internal rate of return for capital projects. Does the 10-year rate of return meet the company requirements. assume that the company pays interest on...

The joint density of X, the total time (in minutes) between an automobiles arrival in the service

Question:

Sce to if 0 s y s x; 0sx< 00 elsewhere f(x, y) =

Step by Step Answer:

a c2 b c he...View the full answer

Statistics For Engineering And The Sciences

Students also viewed these Engineering questions