Question: Let a, b, c, d be any numbers with a In other words, f (x, y) is constant on the rectangle a a. Show that

Let a, b, c, d be any numbers with a
Let a, b, c, d be any numbers with a

In other words, f (x, y) is constant on the rectangle a 

a. Show that k = 1/((b - a)(d - c)).
b. Show that the marginal density of X is fX (x) = 1/(b - a) for a 

c. Show that the marginal density of Y is fY (y) = 1/(d - c) for c 

d. Use parts (a), (b), and (c) to show that X and Y are independent.

a

Step by Step Solution

★★★★★

3.47 Rating (163 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a Therefore ... View full answer

blur-text-image
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)

Word file Icon

944-M-S-P (8430).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

Q:

Suppose that the joint probability function of the continuous random variables X and Y is constant on the rectangle 0

Q:

Let a

Q:

a) Let a

Q:

Task 1120 marks Simplify the functions described below using K-maps, draw circuit diagram for simplified functions and show truth tables. 1. F, (1, J, K) = E (m,,m,,m,,m,) 2. F: (A, B, C, D) - E(m,,...

Q:

9B 16. Can someone show me how to do this problem? Will rate a thumb up for good response thanks so much (PLEASE CIRCLE OR HIGHLIGHT final answer thx) note: the choosing is for choosing which figure...

Q:

1. Let a, b, c, d be real numbers where a 1. Let a, b, c, d be real numbers where a

Q:

Montoure Company uses a periodic inventory system. It entered into the following calendar-year purchases and sales transactions. Units Sold at Retail Units Acquired at Cost 680 units @ $75.00 per...

Q:

Let A, B, C, D, E, and Fbe sets where: A = Z, B = {X/y:X EZ, Y EN), C = {1, 2, 3, 4, ...}, D = {0,-1, -2, -3, ...}, E= {2, 4, 6, 8, ...}, and F= 0. Fill in the blanks below with A, B, C, D, E, or Fto...

Q:

class Queue using no other data structures than Item, Boolean, int and Stack. The amortized running time of each Queue meth od must be constant. (Note that you may only use the Stack as a black box:...

Q:

Subaru Motors Corporation (SMC) today announced plans to revise its organisational structure. The changes will see the company's structure slim down from 230 departments to 131, which will hopefully...

Q:

Tweapia Limited acquired a loan of GHC 100,000 loan for the construction of a new office space. The company begun the construction of an item of property, plant and equipment on 1 march 2020. Due to...

Q:

Phosphorous acid, H3PO3, is oxidized to phosphoric acid, H3PO4, by hot, concentrated sulfuric acid, which is reduced to SO2. Write the balanced equation for this reaction.

Q:

A scenario whereby packets are leaving your network through one route, indicates which type of issue? Instruction: Choose the option that best answers the question. Missing routes Broadcast storm...

Q:

Let yt = 1yt 1 + 2yt 2+ t with t N(01) Plot the spectra of yt in the following cases: (a) When the AR(2) characteristic polynomial has two real reciprocal roots given by r1 = 09 and r2 = 095 (b) When...

Q:

A force of F = 2.2 0.1 N is applied to a block for a period of time, during which the block moves a distance d = 3 m, which is measured with negligible uncertainty. The work W is given by W = Fd....

Q:

The specific gravity of a substance is given by G = DS/DW, where DS is the density of the substance in kg/m3 and DW is the density of water, which is known to be 1000 kg/m3. The density of a...

Q:

The acceleration g due to gravity is estimated by dropping an object and measuring the time it takes to travel a certain distance. Assume the distance s is known to be exactly 2.2 m. The time is...

Q:

Carolina is a single filing California taxpayer. In 2022 her Federal adjusted gross income (AGI) was $230,000. For 2022, what is the amount of her California exemption credit? A. $102 B. $134 C. $140...

Q:

1. A. Estimate the average monthly internet access fee based your data using formulas. Show any formulas needed, show all work and use proper units. Remember that ALL estimates should include an...

Q:

Questions: What type of sampling technique is used in each example? Convenient sampling Stratified random sampling Cluster random sampling Systematic random sampling 1_ A student council surveys 60...