According to a university's reports,the GPAs of all of its students has a mean of 3.2 and standard deviation of 0.20. Females make up 56% of the entire student body.

Use decimal notation for all proportions (do not use percentages). For example, instead of 95% you would enter 0.95.

Round your final answer to three decimal places.

If you were to take many random samples of size n = 42 and record the proportion of females for each sample, the standard deviation of these sample proportions would be approximately.

Group of answer choices

0.031

0.001

0.077

0.006