# MATH

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If 20% of population have blue eyes, and 5 people are selected at random, what is the probability that at least 4 of them have blue eyes?

HOW DO I FIND THE SOLUTION TO THIS PROBLEM?

• MATH -

Prob(blue eyes) = .2
Prob(not blue eyes)= .8

prob( at least 4 of 5 have blue eyes)
= prob(exactly 4 of 5 have blue eyes) + prob(exactly 5 of 5 have blue eyes)
= C(5,4)(.2)^4 (.8) + C(5,5)(.2)^5
= 5(.0016)(.8) + 1(.00032)
= .000672

• MATH -

In the United States , 60% of the population have brown eyes.

• MATH -

In the United States , 60% of the population have brown eyes.
If 37 people were randomly selected. Find the probability that exactly 22 of them will have brown eyes.

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