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. Round to

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(52858) (Show Source): You can put this solution on YOUR website!
.
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.
~~~~~~~~~~~~~~~~~~

"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).

Solved.

RELATED QUESTIONS
In a population where 24% of voters prefer candidate A an organization conducts a poll of (answered by Solver92311,ikleyn)

In a population where 32% of voters prefer Candidate A, an organization conducts a poll... (answered by Boreal)

In a population where 59% of voters prefer Candidate A, an organization conducts a poll... (answered by Boreal)

In a population where 43% of voters prefer Candidate A, an organization conducts a poll... (answered by ikleyn)

Assume that the proportion of voters who prefer Candidate A is p = 0.571 .... (answered by ewatrrr,math_tutor2020)

If 60% of the voters in a large district prefers candidate A. What is the probability... (answered by ikleyn)

if 60%of the voters in a large district prefer candidate A what is the probability that... (answered by ikleyn)

A poll found that 3 of 5 voters planned to vote candidate A. Joe and Mike voted. What... (answered by stanbon)

In a certain town, 40% of the eligible voters prefer candidate A, 35% prefer candidate B, (answered by ewatrrr)