In case the organization controls n = 2000 voters, which is the (approximated) probability that candidate A will win the election? ii) (2pts) Which is the minimum number n that the organization has to control for guaranteeing a probability of victory of at least 99%?   please if able provide some explanation with the taken steps, thank you in advance

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
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During an election in a remote country, one million of people are voting for choosing between the
candidate A and the candidate B. Unfortunately, n electors are under the control of a criminal
organization, so that they will vote surely for candidate A. All the other electors vote at random,
i.e., they choose with probability 1/2 between the two candidates.
i) (2pts) In case the organization controls n = 2000 voters, which is the (approximated) probability that candidate A will win the election?
ii) (2pts) Which is the minimum number n that the organization has to control for guaranteeing
a probability of victory of at least 99%?

 

please if able provide some explanation with the taken steps, thank you in advance

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