In a region there is a 0.95 probability chance that a randomly selected person of the population has brown eyes. Assume 15 people are randomly selected. Perform the following:

a) Find the probability that all of the selected people have brown eyes.

b) Find the probability that exactly 14 of the selected people have brown eyes.

c) Find the probability that the number of selected people that have brown eyes is 13 or more.

Question

Mariah Dominguez

Mathematics

16 August, 05:26

In a region there is a 0.95 probability chance that a randomly selected person of the population has brown eyes. Assume 15 people are randomly selected. Perform the following:

a) Find the probability that all of the selected people have brown eyes.

b) Find the probability that exactly 14 of the selected people have brown eyes.

c) Find the probability that the number of selected people that have brown eyes is 13 or more.

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Answers (1)

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Brett Casey · Answer 1

We are given the data of 0.95 probability chance that a randomly selected person with brown eyes.

we use the formula: nCm * p^m q^ (n-m)

a) 15C15 * 0.95 ^15 * 0.05^ (0) = 0.463

b) 15C14 * 0.95 ^14 * 0.05^ (1) = 0.366

c) 15C13 * 0.95 ^13 * 0.05^ (2) = 0.135

0.135+0.366 + 0.463 = 0.964