Use R code: On Day 1, Basket A contains 10 red balls and Basket B contains 10 blue balls. Each morning you pick a ball at random from Basket A and put it in Basket B. Each evening, you pick a ball at random from Basket B and put it in Basket A. Every time you transfer a blue ball you drop a penny in a piggy bank, every time you transfer a red ball you drop a nickel in the piggy bank. On Day 366 morning, how many balls of each color are in the two baskets? On Day 366 morning how much money is in the piggy bank? The answers are not numbers, but random variables. Give their probability mass functions.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 5CT: At Rosemont High School, 14 players are on the varsity basketball team, 35 players are on the...
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On Day 1, Basket A contains 10 red balls and Basket B contains 10 blue balls. Each morning you pick a ball at random from Basket A and put it in Basket B. Each evening, you pick a ball at random from Basket B and put it in Basket A. Every time you transfer a blue ball you drop a penny in a piggy bank, every time you transfer a red ball you drop a nickel in the piggy bank. On Day 366 morning, how many balls of each color are in the two baskets? On Day 366 morning how much money is in the piggy bank? The answers are not numbers, but random variables. Give their probability mass functions. 

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