A poll is give , showing 40% are

Answered question

2022-02-25

A poll is give , showing 40% are in favor of a new building project.If 6 people are chosen at random, what is the probability that exactly 3 of them favor the new building project?

Answer & Explanation

alenahelenash

alenahelenash

Expert2022-03-10Added 556 answers

Step 1
We will use binomial probability to solve this question.
The formula for the binomial probability is:
P(x)=nCxpx(1p)x, where
n= sample size
p= probability of success.
Given:
n=6,
p=40%=0.40
x=3
Step 2 We need to find P(x=3). The calculations are shown as follows:
P(x=3)=6C30.406(10.40)63
=0.0177
Therefore, the probability that exactly 3 of them favor the new building project is =0.0177.

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