Question: 24. A point is selected at random from the pyramid V = (x, y, z) : x, y, z 0, x + y

24. A point is selected at random from the pyramid V =



(x, y, z) : x, y, z ≥ 0, x + y + z ≤ 1


.

Letting (X, Y,Z) be its coordinates, determine if X, Y, and Z are independent.

Hint: Recall that the volume of a pyramid is Bh/3, where h is the height and B is the area of the base.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock 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

Students Have Also Explored These Related Probability And Stochastic Modeling Questions!

Q:

23. A point is selected at random from the pyramid V = $ (x, y, z): x, y, z 0, x + y + z 1 % . Letting (X, Y, Z) be its coordinates, determine if X, Y , and Z are independent. Hint: Recall that the...

Q:

Assist me to solve the following questions (1-4) in plain sheet papers W Home P 2023T2SIT787_Assignment3_newv2.pd .P SIT787 T1 2024 Assessment 3 ( @ X 21 30 Upgrade now X = Menu Home Edit Comment...

Q:

Step 1: Prepare journal entries to record the December transactions in the General Journal Tab in the excel template file "Accounting Cycle Excel Template.xlsx". Use the following accounts as...

Q:

Cryptology Homework nr 1 Initial data: Student's ID number 0 9 0 Sum of [5 6 Last ID digit ID digits word Select the proper word from the table beside that fits to the last digit of ID number for...

Q:

I need you to solve Question 2 (4.42) Q2 4.42. Find the mean and variance of Z, the minimum of the coordinates in a square, in Problem 4.20.4.20. (a) Find and plot the pdf of the random variable Z in...

Q:

Question 32 (1 point) Listen In the following diagram. So and D are the domestic supply and demand for a product and P. is the world price of that product, Sa Price ($) D 0 V X y Z Quantity In the...

Q:

JUST ANSWER NO NEED TO EXPLAIN QUESTION 1: Question 32 (1 point) Listen In the following diagram. So and D are the domestic supply and demand for a product and P. is the world price of that product,...

Q:

9/ x 2 - 2x + 1 7 3. (12 points) Suppose that the temperature at the point (x, y) in plane R2 is given by T(x, y) = 4(x - 1)2 + 2y2, measured in degrees Celsius. (a) Using the method of Lagrange...

Q:

10. A point is selected at random from the cube # = $ (x, y, z): a x a, a y a, a z a % . What is the probability that it is inside the sphere inscribed in the cube?

Q:

AutoSave On 2 IN CLASS QUESTIONS 12 3 (1) - Excel O Search Otieno, Yvette OY Ga File Home Insert Draw Page Layout Formulas Data Review View Kutools Kutools Plus Help Power Pivot Share Comments L29 f...

Q:

Based on the sample ERD (See attached file). Create a logical database design that depicts the primary and foreign keys. Write also metadata for all the relations involved in the given problem. TABLE...

Q:

Alkyl halides have been used as insecticides since the discovery of DDT in 1939. DDT was the first compound to be found that had a high toxicity to insects and a relatively low toxicity to mammals....

Q:

A flexible short - term financing strategy implies depreciation deficits cash surpluses a small investment in receivables a large investment in net working capital

Q:

Paris participates in her employer's nonqualified deferred compensation plan. For 2016, she is deferring 10 percent of her $320,000 annual salary. Assuming this is her only source of income and her...