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!
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
- 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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