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Answer:
Probability that exactly 5 of them have blue eyes is 0.1165.
Step-by-step explanation:
We are given that Researchers claim that 8% of people have blue eyes. Suppose the researchers' claim is true. Mrs. Greene has a Geometry class with 40 students.
The above situation can be represented through Binomial distribution;
where, n = number of trials (samples) taken = 40 students
r = number of success = exactly 5
p = probability of success which in our question is % of people
having blue eyes, i.e; 8%
<em>LET X = Number of students having blue eyes</em>
So, it means X ~
Now, Probability that exactly 5 of them have blue eyes is given by = P(X = 5)
P(X = 5) =
=
= 0.1165
Therefore, Probability that exactly 5 of them have blue eyes is 0.1165.