3.There are 1 red, 2 black and 3 white balls in the box. Pick out twice with replacement, eachtime pick out one ball. Denote X and Y respectively the number of red and black balls beingpicked out.(1) Find the joint probability mass function of X and Y;(2) Find the two marginal probability mass functions of X and Y, are they independent?(3) Given condition that X-0, find the conditional cumulative distribution function of Y.

1)GivenThe number of red balls =1The number of black balls =2The number of white balls =3 Balls are…

Answered: There are 1 red, 2 black and 3 white…

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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There are 4 quarters and 2 dimes and 1 nickel in a coin pouch. Two coins are selected at random. If XX assigns the total value in cents of the coins to each outcome, how many distinct values does X take? Find the probability density function of X (Note: Please write the values of X in ascending order!).
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Answer d, c, f
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I need help with this:A convenience store has two separate locations where customers can be checked out as they leave. These locations each have two cash registers and two employees who check out customers. Let X be the number of cash registers being used at a particular time for location 1 and Y the number being used at the same time for location 2. The joint probability function is given by the accompanying table. Complete parts (a) through (c) below.(a) Give the marginal density of b oth X and Y as wellas the probability distribution of X given Y = 2.(b) Give E(X) and Var(X).(c) Give E(X | Y = 2) and Var(X | Y = 2).
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