Counting Votes: Distributions In a small voting district, Poisson(λ) people arrive to vote during a poll. Each voter votes for the proposal with probability p and against the proposal with probability (1−p). Assume everyone casts their vote independently. If D is the difference between the number of votes for the proposal and the number of votes against the proposal, determine E(D) and Var(D). Implement a simulation to check your answers(python code). Solve by hand and show calculations done by hand and by code!

Counting Votes: Distributions In a small voting district, Poisson(λ) people arrive to vote during a poll. Each voter votes for the proposal with probability p and against the proposal with probability (1−p). Assume everyone casts their vote independently. If D is the difference between the number of votes for the proposal and the number of votes against the proposal, determine E(D) and Var(D). Implement a simulation to check your answers(python code). Solve by hand and show calculations done by hand and by code!

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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Solve it fast and correctly. I will rate accordingly with multiple votes. Need 100% correct answer. There are eight seats at a rectangular table - three on each of the longer sides and one on each of the shorter sides. Six adults and two children sit around the table, with each seating configuration equally likely. What is the probability that the two children will end up seating next to each other on one of the longer sides of the table?
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