Counting Votes: DistributionsIn 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!

To solve this problem, we'll first analyze the expected value and variance of D. Let X be the number…

Answered: Counting Votes: Distributions In a…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter12: Probability

Section12.CR: Chapter 12 Review

Problem 93CR

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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!

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