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According to government data, 51% of employed women have never been married. Rounding to 4 decimal...

According to government data, 51% of employed women have never been married. Rounding to 4 decimal places, if 15 employed women are randomly selected:

a. What is the probability that exactly 2 of them have never been married?

b. That at most 2 of them have never been married?

c. That at least 13 of them have been married?

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

Given:

Probability of success, p = 0.51

Number of sample, n = 15

Let X be the number of employed women have never been married.

X ~ Binomial (n=15, p=0.51)

The probability density function of Binomial Distribution is given by

Therefore

a) The probability that exactly 2 of them have never been married is 0.0026

b) The probability that at most 2 of them have never been married is 0.0029

c) The probability that at least 13 of them have been married is 0.0046

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