SOLUTION: In a population where 26% of voters prefer Candidate A, an organization conducts a poll of 5 voters. Find the probability that 0 of the 5 voters will prefer Candidate A.
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Question 1207233: In a population where 26% of voters prefer Candidate A, an organization conducts a poll of 5 voters. Find the probability that 0 of the 5 voters will prefer Candidate A.
Round to 4 decimal places. Answer by ikleyn(52851) (Show Source):
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In a population where 26% of voters prefer Candidate A, an organization conducts a poll of 5 voters.
Find the probability that 0 of the 5 voters will prefer Candidate A.
Round to 4 decimal places.
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"0 of the 5 voters will prefer Candidate A" means that no one of 5 voters prefers candidate A.
The probability that voter 1 does not prefer voter A is 1-0.26 = 0.74.
The probability that voter 2 does not prefer voter A is 1-0.26 = 0.74.
The probability that voter 3 does not prefer voter A is 1-0.26 = 0.74.
The probability that voter 4 does not prefer voter A is 1-0.26 = 0.74.
The probability that voter 5 does not prefer voter A is 1-0.26 = 0.74.
The probability that no one of 5 voters prefers candidate A is = 0.221900662.
ANSWER. The probability that no one of 5 voters prefers candidate A is 0.2219 (rounded as requested).
