Question: The random variable X and Y have a joint density Find: a) The marginal of X b) P(1.5 1) f(x, y) = [xy,1x y 2

The random variable X and Y have a joint density

0, elsewhere

Find:

a) The marginal of X

b) P(1.5 1)

f(x, y) = [xy,1x y 2 0, elsewhere

Step by Step Solution

★★★★★

3.45 Rating (161 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

To solve these problems we will follow the steps outlined below a Find the marginal density of X The ... 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 (2 attachments)

PDF file Icon

6095c3e662e81_26225.pdf

180 KBs PDF File

Word file Icon

6095c3e662e81_26225.docx

120 KBs Word File

Students Have Also Explored These Related Mathematics Questions!

Q:

The random variables X and Y have a joint density function given by Compute Cov(X, Y). 2e_Zr f(x,y) = 10 otherwise

Q:

The random variables X and Y have a joint density Find: (a) The marginal of X. (b) P(1.5 1). 8. ry, 1

Q:

Random variable X and Y have joint PDF Let V = Max (X,Y). Find the CDF and PDF of V. fx,y(x,y) = otherwise. 0

Q:

ll'ilLIEETllrlll 3 a} b} The waiting time at an elevator in a shopping mall is approximately normally distributed with a mean of 3.2 minutes and a standard deviation of 1.5 minutes. i} What is the...

Q:

Which of the following could be quantified as a Bernoulli random variable? a) number of persons in a hospital ward with terminal diagnoses. b) weights of deliveries at a supermarket. c) square foot...

Q:

solve these Example 1 The following table represents the values of sine function: 0.0 0.1 0.2 0.3 0.4 0.5 0.6 f(x) 0.0000 0.0998 0.1987 0.2955 0.3894 0.4794 0.5646 Compute f(x) dx based on, (a)...

Q:

Solve the question Construct a graph of the cumulative distribution function of Exercise 3. 15. Reference: Exercise 3. 15: Find the cumulative distribution function of the random variable X...

Q:

4. The joint cumulative distribution function, or joint CDF, of the random variables X and Y is defined as F(x, y) = P(X x,Y y). Let X and Y be the random variables of Exercise 1. (a) Make a table...

Q:

The random variable X measures the concentration of ethanol in a chemical solution, and the random variable measures the acidity of the solution. They have a joint probability density function f(x,...

Q:

Let X and Y have the joint density where c is a constant. a. Find the value of c that makes f(x, y) a probability density function. b. Find the marginal density for y and show c. Find f 1 (x y), the...

Q:

Verify (17.64) for the PPP F matrix elements.

Q:

Complete this production cost report. Fill in the shaded boxes. Beginning inventory Started during the month Total units to account for Completed and tranferred out Ending work in process Total units...

Q:

25. Criticize the following defi nitions in light of the eight rules for lexical defi nitions: A cello is a stringed musical instrument played with a bow.

Q:

In Problem 10.27, we saw that Doppler shifts of atomic spectral lines are used to estimate the speed of recession or approach of a star. From the discussion in Section 13.3a, it is easy to see that...

Q:

One dimension in figure two point particles are fixed on a x-axis separately by distance d. Particle A has mass mA and particle B has mass 3.00mA. A Pro third particle C, of mass 75.0mA, is to be...

Q:

Suppose the European Union (EU) is investigating a proposed merger between two of the largest distillers of premium Scotch liquor. Based on some economists definition of the relevant market, the two...

Q:

A distillate containing 45 wt% isopropyl alcohol, 50 wt% diisopropyl ether, and 5 wt% water is obtained from the heads column of an isopropyl alcohol finishing umt. The company desires to recover the...

Q:

Equipment upgrade versus replacement (A. Spero, adapted) The TechMech Company produces sells 6,000 modular computer desks per year at a selling price of $500 each. Its current production equipment,...

Q:

What does free interstate commerce mean? Who developed it? Why was this critical for the economic development of the new country

Q:

Show that f (x, y) = 1/x, 0

Q:

For continuous random variables X and Y with joint probability density function. a. Find P(X > 1 and Y > 1). b. Find the marginal probability density functions f X (x) and f Y (y). c. Are X and Y...

Q:

A random variable X takes values between -2 and 3 with a probability density function and f (x) = 0 elsewhere. (a) Find the value of c and sketch the probability density function (b) What is P (-1 X...

Q:

4-48. Given that the random variable X has the probability density function f (x) = -15 , 5

Q:

5-13. Given the bivariate probability density function f (x, y) = -3x(1 xy), 0

Q:

Consider Review Exercise 3.66. There are two service lines. The random variables X and Y are the proportion of time that line 1 and line 2 are in use respectively. The joint probability density...