According to the Australian Bureau of Statistics, 20% of all people 16 years of age or older do volunteer work. In this age group, women volunteer slightly more than men, with 22% of women volunteering and 19% of men volunteering.

What is the probability of randomly sampling 140 women 16 years of age or older and getting 35 or more who do volunteer work?

P(X) =

What is the probability of getting 21 or fewer from this group?

P(X) =

Suppose a sample of 300 men and women 16 years of age or older is selected randomly from the Australian population. What is the probability that the sample proportion of those who do volunteer work is between 18% and 25%?

Round all z values to 2 decimal places. Round all intermediate calculations and answer to 4 decimal places.

P(X) =

The tolerance is +/-0.0001