Let X, Y, Z have joint density fX,Y,Z (x,y,z) = 6, for 0 < x < y
Question:
fX,Y,Z (x,y,z) = 6,
for 0 < x < y < z < l
and fX,Y,Z (x,y,z) = 0 otherwise.
a. Are X and Y and Z independent?
b. Find the density fX(x) of X.
c. Find the density fY(y) of Y.
d. Find the density fZ(z) of Z.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (8 reviews)
a No the region is n...View the full answer
Answered By
Muhammad Umair
I have done job as Embedded System Engineer for just four months but after it i have decided to open my own lab and to work on projects that i can launch my own product in market. I work on different softwares like Proteus, Mikroc to program Embedded Systems. My basic work is on Embedded Systems. I have skills in Autocad, Proteus, C++, C programming and i love to share these skills to other to enhance my knowledge too.
3.50+
1+ Reviews
10+ Question Solved
Related Book For
Introduction to Probability
ISBN: 978-0716771098
1st edition
Authors: Mark Daniel Ward, Ellen Gundlach
Question Posted:
Students also viewed these Statistics questions
-
Let X, Y have joint density fx, y (x, y) = 3/38750 (x3 + y2), for 0 x 10 and 0 y 5, And fx. y (x, y) = 0 otherwise. Find P (X 5, y 2).
-
Let X, Y have joint density fX, Y(x, y) = x + y, for 0 x,y 1, and fx, y (x, y) = 0 otherwise. Find the joint CDF, i.e., Fx, y (x, y) = P(X x, Y y).
-
Let X,Y have joint density fX,Y (x, y) = 3x,y/1250, for 0 x, 0 y, x + y 10 and fX,Y(x,y) = 0 otherwise. a. Are X and Y independent? b. Find the density fx(x) of X. c. Find the density fy(y) of Y.
-
1. Let f(x) = 2x+6 if x < -1 3x+2 if x -1 (a) What is lim, -1- f(x)? Your answer will depend on b. (b) What is lim,-1+ f(x)? (c) For what values of b does limx-1 f(x) exist? 2. Suppose that f and g...
-
Home Auto Parts is a large retail auto parts store selling the full range of auto parts and supplies for do- it- yourself auto repair enthusiasts. The store is arranged with three prime displays in...
-
Consider the Function y= x(x-4)=6(x-4) a. Write the function in standard form, y = ax2 + bx + c, and identify a, b, c and the vertical intercept. b. Write the function in factored form, y =...
-
An analysis of the accounts of Small Appliances Pty Ltd reveals the following manufacturing cost data for the month ended 30 June 2025. Required (a) Prepare the cost of goods manufactured schedule...
-
B. S. International, Ltd. (BSI), makes costume jewelry. JMAM, LLC, is a wholesaler of costume jewelry. JMAM sent BSI a letter with the terms for orders, including the necessary procedure for...
-
Choose a coordinate system useful to describe the motion of the spool. Select a point on the outside edge of the spool. Write equations giving the perpendicular components of the point's position...
-
R.D. Snee (Experimenting with a Large Number of Variables, in Experiments in Industry: Design, Analysis and Interpretation of Results, by R.D. Snee, LB. Hare, and J.B. Trout, eds., ASQC, 1985)...
-
Suppose X and Y have joint density fX,Y (x,y) = (18 - 2x2)/3x2y3, for 1 x 2, 1/2 y 1 and fX,Y (x,y) = 0 otherwise. a. Are X and Y independent? b. Find P(X < 3/2, Y < 3/4).
-
Consider two random variables X and Y with joint density fX,Y (x,y) = x/8 + y/8, for 0 < x < 2, 0 < y < 2 and fX,Y (x,y) = 0 otherwise. a. Are X and V independent? b. Find P(X > 1) and P(Y > 1). c....
-
Using only elementary row or elementary column operations and Theorems 3.2, and 3.6 (do not expand the determinants), verify the following: (a) (b) a-b1aa b abe abc e ab bca abc
-
Which method is used to compute depletion? a. Double-declining-balance method b. Straight-line method c. Depletion method d. Units-of-production method
-
Pixel Copies recorded a cash collection on account by debiting Cash and crediting Accounts Payable. What will the trial balance show for this error? a. Cash is overstated. b. Liabilities are...
-
A & D Window Cleaning performed $450 of services but has not yet billed customers for the month. If A & D fails to record the adjusting entry, what is the impact on the financial statements? a....
-
Which method almost always produces the most depreciation in the first year? a. Units-of-production b. Straight-line c. Double-declining-balance d. All produce the same depreciation in the first year.
-
When recording credit card or debit card sales using the net method, a. cash received equals sales. b. cash received equals sales minus the fee assessed by the card processing company. c. cash...
-
Make the given changes in the indicated examples of this section and then solve the resulting problems. In Example 5, change pure methanol to of a blend with 50.0% methanol. Data from Example 5 A...
-
Wimot Trucking Corporation uses the units-of-production depreciation method because units-of-production best measures wear and tear on the trucks. Consider these facts about one Mack truck in the...
-
In a study of the palatability of antibiotics in children, Dr. Doreen Matsui and colleagues used a voluntary sample of healthy children to assess their reactions to the taste of four antibiotics.5...
-
Give the rejection region for a test to detect positive rank correlation if the number of pairs of ranks is 16 and you have these a-values: a. = .05 b. = .01
-
Give the rejection region for a test to detect negative rank correlation if the number of pairs of ranks is 12 and you have these a-values: a. = .05 b. = .01
-
a) Give one reason why local Pakistan bus businesses could benefit from Pakistan's crisis. b) Give one reason why local bus businesses could be hurt by the Rupee crisis.
-
A P/E multiple could be high relative to the S&P 500 Index because its high growth rate justifies it. You notice a stock that has an assumed growth rate of 5.43% with a dividend payout ratio of 64.9%...
-
What would be the volume ( cm 3 ) of a piece of Styrofoam if it had a mass of 3 5 0 g , no matter its shape? Show calculation.
Study smarter with the SolutionInn App