3. A candy company distributes boxes of chocolates with a mixture of creams, toffees, and cordials. Suppose thatthe weight of each box is 1 kilogram but the individual weights of the creams, toffees, and cordials vary fromthe box to box. For a randomly selected box, Let X and Y represent the weight of the crems and the toffees,respectively, and suppose that the joint density function of these variables is24xy 0

Answered: Image /qna-images/answer/b3e09098-fd27-4e7d-bc5f-a9a9d63f390e.jpg

Answered: 3. A candy company distributes boxes of…

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...

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Let X and Y be random variables having joint density functiona. What is the value of C?b. What is the probability that X is greater than 1⁄2 and Y is less than 3/2?c. Determine the marginal density function of X and Y.d. Find E(X), E(Y), Var(X), Var(Y), σ(x), , σ(y)e. Are X and Y independent, show your solutionf. Find the correlation between X and Y variable and interpret your findings, show yoursolution.g. Find the conditional density for X given Y=y, conditional density for Y given X=x
A candy company distributes boxes of chocolates with a mixture of creams, toffees, and cordials. Suppose that the weight of each box is 4 kilograms, but the individual weights of the creams, toffees, and cordials vary from box to box. For a randomly selected box, let X and Y represent the weights of the creams and the toffees, respectively, and suppose that the joint density function of these variables is as shown. Find the covariance between the weight of the creams and the weight of the toffees in these boxes of chocolates. f(x,y) = 32xy, 0≤x≤4,0sy≤4, x+y≤4 0, elsewhere
Xavier and Yolanda both have classes that end at noon and they agree to meet every day after class. They arrive at the coffee shop independently. Xavier's arrival time is X and Yolanda's arrival time is Y, where X and Y are measured in minutes after noon. The individual density functions are given.(Xavier arrives sometime after noon and is more likely to arrive promptly than late. Yolanda always arrives by 12:10 PM and is more likely to arrive late than promptly.) After Yolanda arrives, she'll wait for up to 45 minutes for Xavier, but he won't wait for her. Find the probability that they meet. (Round your answer to three decimal places.)

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