A news organization reported that 45% of the voters in a particular region voted for Candidate A in a recent election with two candidates. A small startup company in the region has nine employees.
a. How many of the employees would be expected to have voted for Candidate A?
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.
c. Eight of the employees voted for Candidate B. Determine the probability that at least 8 of the employees would vote for Candidate B if they are representative of all voters in the region.
d. Based on your calculations in parts b and c, do the employees reflect the regional trend? Support your answer with statistical calculations and reasoning. Choose the correct answer below.
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