Solve the following1. If the joint probability distribution of X and Yis given byf(x,y) = *+yfor x = 0,2,3;y = 0,1,230Finda. P(X < 2, Y = 1);b. P(X > 2, Y S 1);C. P(X > Y);d. P (X +Y = 4) 3. A candy company distributes boxes of chocolates with a mixture of creams, toffees,and cordials. Suppose that the weights of the creams, toffees, and cordials vary frombox to box, let Xand Y represent the weights of the creams and toffees,respectively, and suppose that the joint density function of these variables is0sxs 1,0 < y < 1,f(x,y) ={0,(24xy,x + y<1elsewhere.a. Find the probability that in a given box the cordials account for more than % ofthe weight.b. Find the marginal density for the weight for the creams.c. Find the probability that the weight of the toffees in a box is less than 1/8 of akilogram if it is known that the creams constitute ¾ of the weight.

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Description: Solve the following1. If the joint probability distribution of X and Yis given byf(x,y) = *+yfor x = 0,2,3;y = 0,1,230Finda. P(X 2, Y S 1);C. P(X > Y);d. P (X +Y = 4) 3. A candy company distributes boxes of chocolates with a mix

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Solve the following 1. If the joint probability distribution of X and Yis given by x+y f(x,y) = 30 for x = 0,2,3; y = 0,1,2 Find a. P(X s 2, Y = 1); b. P(X > 2, Y < 1); c. P(X > Y);

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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