Let p be the joint density function such that p(x, y) = xy in R, the rectangle 0 < x < 2,0 < y < 1, and p(x, y) = 0 outside R. Findthe fraction of the population satisfying the constraint 5x > y.Enter the exact answer.The fraction of the population satisfying the constraint is

Answered: Image /qna-images/answer/045194a2-1893-4818-8cb4-709dc37018f5.jpg

Answered: Let p be the joint density function…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

Consider a random variable Y with density function given by f(y) = ke-v² /20, – ∞< y < o. a) Find k. b) Find E(Y) and V (Y). c) Find P(2
Find P[X+Y<3]
Let Y be uniformly distributed in [0, 1], and X = In(Y+1). Find the cumulative distributionfunction of X and the density function of X.
Practice : X Bin(15,0.2) X is at most 8 : P(X ≤ 8) = F(8) = X is exactly 8: P(X = 8) = F(8) – F(7) = 3 X is at least 7 : P(X ≥ 7) = 1- P(X ≤ 6) = 1 - F(6) = ... 4 X is between 4 and 7 and inclusive : P(4 ≤ x ≤7) = F(7) - F(3) = ...
1)A random vector z = (x y) T has joint probability density given by:a)Sketch the graph of the probability density function pxy(X, Y ).b)Determine the value of the constant C.c)Determine the mean mz vector.
c) Let X [0,1]x[0,1]x[0,1]. Let Y = g(X), be a two dimensional random vector, where 91(X ) = X1 + X2 , g2(X) = X2 – X3 . Find the density function of Y. [X1,X2, X3] be a three dimensional random vector uniformly distributed on
3. Let f be the density function of a random variable X, and let Y = (Y1, Y2, Y3) be a continuous random vector with density function %3! fY (y1, V2, ys) 6 f(v)f(v)/() 1{vn < ya < ya}. (a) Find the conditional density fy, Y,Y, (V, Vsly2) and argue that (Y I. Y) | Y. (b) If X has a uniform distribution on the unit interval (0, 1], deduce that (Y, Y) | (Y = V) has a certain bivariate uniform distribution. Over which set?
Consider the random variables with X and Y with joint density function given by +x) when x,y e [0,2] f (x,y) {k +x) else a. Find the marginal density of X and Y. b. Find P(X > 1[Y = 1)
In Exercise 5.13, the joint density function of Y1 and Y2 is given by | 30y1y3, yı – 1 0[Y, = .75).
Determine the marginal or density function and whether the random variables are independent.
Let X = µ + oZ; so that X N(u, o2). Find the probability density function of X.
The l-distribution. Prove that if X and Y are independently distributed, X having the distribution W=X//Y/m has N(0,1) and Y having the X2 - distribution with m degrees of freedom, then the density -{(m+1) 1{(m+1)(1+m)

SEE MORE QUESTIONS

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS

Let p be the joint density function such that p(x, y) = xy in R, the rectangle 0 < x < 2,0 < y< 1, and p(x, y) = 0 outside R. Find the fraction of the population satisfying the constraint 5x > y. Enter the exact answer. The fraction of the population satisfying the constraint is