(a) Find/write three problems on probability with continuous variables. (b) Solve at least two of them.
(a) Find/write three problems on probability with continuous variables.
(b) Solve at least two of them.
Homework Answers
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(a) Find/write three problems on probability with continuous
variables.
(b) Solve at least two of them.
What is the probability that in a room of n people, at least three of them...
What is the probability that in a room of n people, at least three of them have the same birthday? Explain all the terms in your solution. What is the fewest amount of people such that the probability of at least three of these people having the same birthday is greater than 1/3? You will have to code your solution from the first question and plug in values for n. Include the code snipped you used to solve this.
(19) For the following discrete randon variables, find m1, m2, and σ (a) Bernoulli (b) Binomial (c) Poisson (d) Geometric (20) For the following continuous random variables, find m1, m2, and σ2 (a) U...
(19) For the following discrete randon variables, find m1, m2, and σ (a) Bernoulli (b) Binomial (c) Poisson (d) Geometric (20) For the following continuous random variables, find m1, m2, and σ2 (a) Uniform (b) Exponential (c) Gamma (d) Normal (e) Cauchy. .G (f) Pareto/Zeta" The answers to the above two problems can be found in a great man places. For example, in your book i get answers, but be able to calculate them n Appendix A. The point is...
The joint probability density function of two continuous random variables X and Y is Find the...
The
joint probability density function of two continuous random
variables X and Y is
Find the value
of c and the correlation of X and Y.
Consider the
same two random variables X and Y in problem [1] with the same
joint probability density function. Find the mean value of Y when
X<1.
fxy(x,y) = { C, 0 <y < 2.y < x < 4-y 10, otherwise
1. A statistics professor posted 10 review problems on probability distributions: 4 problems were on discrete...
1. A statistics professor posted 10 review problems on probability distributions: 4 problems were on discrete distributions and 6 on continuous distributions. He then announced to his students that he will randomly select 3 problems out of those posted problems and use them on the midterm exam. Let X be the number of posted problems the professor ends up using on the exam that deal with discrete distributions. a. How many different selections of 3 problems are possible? b. Find...
Let X and Y be two continuous random variables having the joint probability density 24xy, for...
Let X and Y be two continuous random variables having the joint probability density 24xy, for 0 < x < 1,0<p<1.0<x+y<1 0, elsewhere Find the joint probability density of Z X + Y and W-2Y.
7. Find cov(X, Y) 8. Are the random variables X, Y independent? Justify answer Edit : do not solve number 1, I already solved. C=3/32 Use this information for problems 1 -8: Let X, Y be two contin...
7. Find cov(X, Y)
8. Are the random variables X, Y independent? Justify
answer
Edit : do not solve number 1, I already solved.
C=3/32
Use this information for problems 1 -8: Let X, Y be two continuous random variables and let f(x, y)2y + xy?) over the range O< x<2 and 0< y< 2. Determine the v function alue of the constant c that makes this function a joint probability density 1.
Use this information for problems 1 -8:...
[1] The joint probability density function of two continuous random variables X and Y is fx,x(x,...
[1] The joint probability density function of two continuous random variables X and Y is fx,x(x, y) = {6. sc, 0 <y s 2.y = x < 4-y otherwise Find the value of c and the correlation of X and Y.
1) Suppose that three random variables, X, Y, and Z have a continuous joint probability density...
1) Suppose that three random variables, X, Y, and Z have a continuous joint probability density function f(x, y. z) elsewhere a) Determine the value of the constant b) Find the marginal joint p. d. fof X and Y, namely f(x, y) (3 Points) c) Using part b), compute the conditional probability of Z given X and Y. That is, find f (Z I x y) d) Using the result from part c), compute P(Z<0.5 x - 3 Points) 2...
Please Only Do Question 2 [1] The joint probability density function of two continuous random variables...
Please Only Do Question 2
[1] The joint probability density function of two continuous random variables X and Y is fxxx(x,y) = {S. sc, 0 <y s 2.y = x < 4-y otherwise Find the value of c and the correlation of X and Y. [2] Consider the same two random variables X and Y in problem [1] with the same joint probability density function. Find the mean value of Y when X<1.
[1] The joint probability density function of two continuous random variables X and Y is fxy(x,...
[1] The joint probability density function of two continuous random variables X and Y is fxy(x, y) = {0. sc, 0 <y s 2.y < x < 4-y = otherwise Find the value of c and the correlation of X and Y.
(19) For the following discrete randon variables, find m1, m2, and σ (a) Bernoulli (b) Binomial (c) Poisson (d) Geometric (20) For the following continuous random variables, find m1, m2, and σ2 (a) Uniform (b) Exponential (c) Gamma (d) Normal (e) Cauchy. .G (f) Pareto/Zeta" The answers to the above two problems can be found in a great man places. For example, in your book i get answers, but be able to calculate them n Appendix A. The point is...
The
joint probability density function of two continuous random
variables X and Y is
Find the value
of c and the correlation of X and Y.
Consider the
same two random variables X and Y in problem [1] with the same
joint probability density function. Find the mean value of Y when
X<1.
fxy(x,y) = { C, 0 <y < 2.y < x < 4-y 10, otherwise
1. A statistics professor posted 10 review problems on probability distributions: 4 problems were on discrete distributions and 6 on continuous distributions. He then announced to his students that he will randomly select 3 problems out of those posted problems and use them on the midterm exam. Let X be the number of posted problems the professor ends up using on the exam that deal with discrete distributions. a. How many different selections of 3 problems are possible? b. Find...
Let X and Y be two continuous random variables having the joint probability density 24xy, for 0 < x < 1,0<p<1.0<x+y<1 0, elsewhere Find the joint probability density of Z X + Y and W-2Y.
7. Find cov(X, Y)
8. Are the random variables X, Y independent? Justify
answer
Edit : do not solve number 1, I already solved.
C=3/32
Use this information for problems 1 -8: Let X, Y be two continuous random variables and let f(x, y)2y + xy?) over the range O< x<2 and 0< y< 2. Determine the v function alue of the constant c that makes this function a joint probability density 1.
Use this information for problems 1 -8:...
[1] The joint probability density function of two continuous random variables X and Y is fx,x(x, y) = {6. sc, 0 <y s 2.y = x < 4-y otherwise Find the value of c and the correlation of X and Y.
1) Suppose that three random variables, X, Y, and Z have a continuous joint probability density function f(x, y. z) elsewhere a) Determine the value of the constant b) Find the marginal joint p. d. fof X and Y, namely f(x, y) (3 Points) c) Using part b), compute the conditional probability of Z given X and Y. That is, find f (Z I x y) d) Using the result from part c), compute P(Z<0.5 x - 3 Points) 2...
Please Only Do Question 2
[1] The joint probability density function of two continuous random variables X and Y is fxxx(x,y) = {S. sc, 0 <y s 2.y = x < 4-y otherwise Find the value of c and the correlation of X and Y. [2] Consider the same two random variables X and Y in problem [1] with the same joint probability density function. Find the mean value of Y when X<1.
[1] The joint probability density function of two continuous random variables X and Y is fxy(x, y) = {0. sc, 0 <y s 2.y < x < 4-y = otherwise Find the value of c and the correlation of X and Y.
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