80% A poll is given, showing are in favor of

UkusakazaL

UkusakazaL

Answered question

2021-09-28

80% A poll is given, showing are in favor of a new building project. 8 people are chosen at random, what is the probability that exactly 3 of them favor the new building project?

Answer & Explanation

svartmaleJ

svartmaleJ

Skilled2021-09-29Added 92 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=8,
p=80%=0.80
x=3
Step 2 We need to find P(x=3). The calculations are shown as follows:
P(x=3)=8C30.808(10.80)83
=0.0092
Therefore, the probability that exactly 3 of them favor the new building project is 0.0092.

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