A news organization reported that 45% of the voters in a part ular region voted

Question

A news organization reported that 45% of the voters in a part ular region voted for Candidate A in a recent election with two candidates. A small startup company in the region has thirteen employees. Complete parts a through d a. How many of the employees would be expected to have voted for Candidate A? 5.85 (Type an integer or a decimal. Do not round.) b. All of the employees indicated that they voted for Candidate B in the recent election. Determine the probability of this assuming they are representative of all voters in the region 0004 (Round to four decimal places as needed.) c. Eleven of the employees voted for Candidate 8. Determine the probability that at least 11 of the employees would vote for Candidate B if they are representative of all voters in the region (Round to four decimal places as needed.)

Explanation / Answer

a) Number of employees expected to have voted for candidate A = 13*(0.45)=5.85

Following questions can be answered using Binomial distribution.

b) B(13,0.55)

Binomial probability:P(X = 13) =0.0004

c) Probability that at least 11 of the employee would vote for candidate B =

Cumulative probability:P(X > 11) = 0.0269

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