Homework Answers
Add Answer to:
5. Let the joint cumulative density function of random variables X and Y be given by...
. Let X and Y be two random variables with joint probability density function fx,y(x, y)-cy...
. Let X and Y be two random variables with joint probability density function fx,y(x, y)-cy for 0 x 1 and 0 y 1. (Note: fxy(x,y) = 0 outside this domain ) (a) Find the marginal distribution fx(x). (b) Find the value of constant c, using the fact that fx,y(x, y) dx dy = 1.
Let the random variables X, Y with joint probability density function (pdf) fxy(z, y) = cry,...
Let the random variables X, Y with joint probability density function (pdf) fxy(z, y) = cry, where 0 < y < z < 2. (a) Find the value of c that makes fx.y (a, y) a valid pdf. (b) Calculate the marginal density functions for X and Y (c) Find the conditional density function of Y X (d) Calculate E(X) and EYIX) (e Show whether X. Y are independent or not.
) Let X, Y be two random variables with the following properties. Y had density function...
) Let X, Y be two random variables with the following
properties. Y had
density function fY (y) = 3y
2
for 0 < y < 1 and zero elsewhere. For 0 < y < 1, given
Y = y, X
had conditional density function fX|Y (x | y) = 2x
y
2 for 0 < x < y and zero elsewhere.
(a) Find the joint density function fX,Y . Be precise about where
the values (x, y) are non-zero....
. Let X and Y be the proportion of two random variables with joint probability density...
. Let X and Y be the proportion of two random variables with joint probability density function f(r, y) e-*, 0, if, 0 < y < x < oo, elsewhere. a) Find P(Xc3.y-2). b) Are X and Y independent? Why? c) Find E(Y/X)
(1 point) 3. Let X and Y be random variables with a joint probability density function...
(1 point) 3. Let X and Y be random variables with a joint probability density function f(z, y)e (a)Find the marginal distribution functions of X and Y, respectively. i.e. Find f(z) and f(y) f(x)- elsewhere (b) Identify the distribution of Y. What is the E(Y) and SD(Y) E(Y)- (c) Are X and Y independent random variables? Show why, or why not (d) Find P(1 X 2|Y 1) E SD(Y)-
Problem 8: Let X and Y be continuous random variables. The joint density of X and...
Problem 8: Let X and Y be continuous random variables. The joint density of X and Y is given by: fxy (x, y)2 if 0 yx< 1. Find the correlation coefficient of X and Y, pxy.
Problem 8: Let X and Y be continuous random variables. The joint density of X and Y is given by: fxy (x, y)2 if 0 yx
. Let X and Y be the proportion of two random variables with joint probability density...
. Let X and Y be the proportion of two random variables with joint probability density function f(x, y)o, elsewhere. (a) Find P(X < 3|Y= 2). (b) Are X and Y independent? Why? (c) Find E(Y/X)
. Let X and Y be the proportion of two random variables with joint probability density...
. Let X and Y be the proportion of two random variables with joint probability density function f(x, y)o, elsewhere. (a) Find P(X < 3|Y= 2). (b) Are X and Y independent? Why? (c) Find E(Y/X)
(45) Two random variables X and Y have the joint probability density | 2, 0sxs1 and...
(45) Two random variables X and Y have the joint probability density | 2, 0sxs1 and 0 s ys1 and x + y21 fxY (x, y) = 0, elsewhere Answer each of these independent questions about X, Y, carefully indicating the domain of all functions where needed. Parts a). - i). are 5 points each. a). Find E(Z), where Z is a new random variable defined by Z = XY b). A is the event {X >0.75}. Find P(A). c)....
3. Let the random variables X and Y have the joint probability density function 0 y...
3. Let the random variables X and Y have the joint probability density function 0 y 1, 0 x < y fxy(x, y)y otherwise (a) Compute the joint expectation E(XY) (b) Compute the marginal expectations E(X) and E (Y) (c) Compute the covariance Cov(X, Y)
. Let X and Y be two random variables with joint probability density function fx,y(x, y)-cy for 0 x 1 and 0 y 1. (Note: fxy(x,y) = 0 outside this domain ) (a) Find the marginal distribution fx(x). (b) Find the value of constant c, using the fact that fx,y(x, y) dx dy = 1.
Let the random variables X, Y with joint probability density function (pdf) fxy(z, y) = cry, where 0 < y < z < 2. (a) Find the value of c that makes fx.y (a, y) a valid pdf. (b) Calculate the marginal density functions for X and Y (c) Find the conditional density function of Y X (d) Calculate E(X) and EYIX) (e Show whether X. Y are independent or not.
) Let X, Y be two random variables with the following
properties. Y had
density function fY (y) = 3y
2
for 0 < y < 1 and zero elsewhere. For 0 < y < 1, given
Y = y, X
had conditional density function fX|Y (x | y) = 2x
y
2 for 0 < x < y and zero elsewhere.
(a) Find the joint density function fX,Y . Be precise about where
the values (x, y) are non-zero....
. Let X and Y be the proportion of two random variables with joint probability density function f(r, y) e-*, 0, if, 0 < y < x < oo, elsewhere. a) Find P(Xc3.y-2). b) Are X and Y independent? Why? c) Find E(Y/X)
(1 point) 3. Let X and Y be random variables with a joint probability density function f(z, y)e (a)Find the marginal distribution functions of X and Y, respectively. i.e. Find f(z) and f(y) f(x)- elsewhere (b) Identify the distribution of Y. What is the E(Y) and SD(Y) E(Y)- (c) Are X and Y independent random variables? Show why, or why not (d) Find P(1 X 2|Y 1) E SD(Y)-
Problem 8: Let X and Y be continuous random variables. The joint density of X and Y is given by: fxy (x, y)2 if 0 yx< 1. Find the correlation coefficient of X and Y, pxy.
Problem 8: Let X and Y be continuous random variables. The joint density of X and Y is given by: fxy (x, y)2 if 0 yx
. Let X and Y be the proportion of two random variables with joint probability density function f(x, y)o, elsewhere. (a) Find P(X < 3|Y= 2). (b) Are X and Y independent? Why? (c) Find E(Y/X)
. Let X and Y be the proportion of two random variables with joint probability density function f(x, y)o, elsewhere. (a) Find P(X < 3|Y= 2). (b) Are X and Y independent? Why? (c) Find E(Y/X)
(45) Two random variables X and Y have the joint probability density | 2, 0sxs1 and 0 s ys1 and x + y21 fxY (x, y) = 0, elsewhere Answer each of these independent questions about X, Y, carefully indicating the domain of all functions where needed. Parts a). - i). are 5 points each. a). Find E(Z), where Z is a new random variable defined by Z = XY b). A is the event {X >0.75}. Find P(A). c)....
3. Let the random variables X and Y have the joint probability density function 0 y 1, 0 x < y fxy(x, y)y otherwise (a) Compute the joint expectation E(XY) (b) Compute the marginal expectations E(X) and E (Y) (c) Compute the covariance Cov(X, Y)
Most questions answered within 3 hours.
-
Households make four kinds of economic
decisions (textbook, pp. 4–5). Consider two households, one with
children...
asked 4 minutes ago -
what is the densest material known at ordinary pressures (1
atm)?
asked 4 minutes ago -
1) True|False: You are about to write your pseudocode
for the program that will read many...
asked 6 minutes ago -
Using the relational schema for the College Applications
database, write relational algebra expressions
that perform the...
asked 30 minutes ago -
Draw the structures of all possible dichloro derivatives of: a)
n-butane b) isobutane
asked 33 minutes ago -
Write a C program to simulate deposit/withdraw activities on a
banking account. (Hint: you might want...
asked 38 minutes ago -
Determine the amount of heat needed to evaporate 100. g of
CH3OH. The heat of vaporization...
asked 45 minutes ago -
Prove that the production function f(X1,
X2, X3) =
29X1aX2bX3c,
where a + b + c...
asked 47 minutes ago -
Given: the steel has a strength coefficient of 530 MPa, a strain
hardening coefficient of 0.26,...
asked 55 minutes ago -
Assume a Poisson distribution. Find the following probabilities.
a. Let lambda equals7.0, find P(Xgreater than or...
asked 1 hour ago -
What volume of a 5.50 M solution of NaNO3 do you need
to make 0.550 L...
asked 1 hour ago -
42.04 mL of a solution of the acid
HNO3 is titrated, and
52.40 mL of 0.5500-M...
asked 1 hour ago