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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