Hi, I already have answered the sections a and b as a table but have difficulty making a table for the part c and d 2Three balls are selected from a bag that contains 3 blue, 2 green, and 5 yellow balls.Here, we define random variables as B = number of blue balls drawn, Gnumber of green=balls drawn, Y = number of yellow balls drawn. Please list the following values:The joint probability mass function PG,B (9, b).(a)The marginal probability mass function pĠ (g) and pÂ(b).The joint distribution function FG,B (9, b).(b)(c)(d)(e)The marginal distribution function FĠ(9) and FÅ (b).BThe conditional probability mass functions PG|B. Are B and G independent?the results of (a) and (b) in one table and the same for (c) and (d)

Given two random variables that are defined on the same probability space, the joint probability…

Math

Probability

(c) (d) The joint distribution function FG,B (g, b). The marginal distribution function FG (g) and FB (b).

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 21E

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Question

Hi, I already have answered the sections a and b as a table but have difficulty making a table for the part c and d

2
Three balls are selected from a bag that contains 3 blue, 2 green, and 5 yellow balls.
Here, we define random variables as B = number of blue balls drawn, G
number of green
=
balls drawn, Y = number of yellow balls drawn. Please list the following values:
The joint probability mass function PG,B (9, b).
(a)
The marginal probability mass function pĠ (g) and pÂ(b).
The joint distribution function FG,B (9, b).
(b)
(c)
(d)
(e)
The marginal distribution function FĠ(9) and FÅ (b).
B
The conditional probability mass functions PG|B. Are B and G independent?
the results of (a) and (b) in one table and the same for (c) and (d)

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