In a poll conducted of 10000 people before an election, 5050 people preferred candidate D. What is the probability of seeing such a poll, given that candidate D wins the election with 51% of the vote. Make some reasonable assumptions and use the continuity correction to compute your answer.

Answer :

Answer:

P ( x < 5050.5 ) ≈ 0.16104

Step-by-step explanation:

Total number of voters ( n ) = 10000

Before election : 5050 people preferred Candidate D ( k ) ≈ 50.1 %

Candidate D eventually wins with 51% of the votes

winning ( p ) = 0.51

Applying continuity correction formula

P ( x < 5050.5 ) ≈ 0.16104

attached below is the remaining part of the solution

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