Answered: Suppose that 20% of all people 16 years of age or older do volunteer work. Further suppose that women volunteer slightly more than men, with 22% of women…

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Description: Suppose that 20% of all people 16 years of age or older do volunteer work. Further suppose that women volunteer slightly more than men, with 22% of women volunteering and 19% of men volunteering. Round the values of z to 2 decimal places. Round your

A First Course in Probability (10th Edition)

10th Edition

ISBN: 9780134753119

Author: Sheldon Ross

Publisher: PEARSON

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Suppose that 20% of all people 16 years of age or older do volunteer work. Further suppose that women volunteer slightly more than men, with 22% of women volunteering and 19% of men volunteering. Round the values of z to 2 decimal places. Round your answers to 4 decimal places.- What is the probability of randomly sampling 140 women 16 years of age or older and getting 35 or more who do volunteer work?- What is the probability of getting 21 or fewer from this group?- Suppose a sample of 300 men and women 16 years of age or older is selected randomly from the population. What is the probability that the sample proportion of those who do volunteer work is between 18% and 25%?

Expert Solution

Step 1

The probability of randomly sampling 140 women 16 years of age or older and getting 35 or more who do volunteer work is calculated as follows:

$\begin{array}{rcl} P (X \geq 35) & = & P (Z \geq \frac{35 - 140 \times 0.22}{\sqrt{140 \times 0.22 \times 0.78}}) \\ = & 1 - P (Z \leq 0.86) \\ = & 1 - 0.8051 \\ = & 0.1949 \end{array}$

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