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Exercises Probability and the bell curve

Example 3.21 from Statistics, 3.4 Contingency Tables

(part 4)

d. Find the probability that a person is female or prefers hiking on mountain peaks. Let F = being female, and let P = prefers mountain peaks.

Find P(F).
Find P(P).
Find P(F AND P).
Find P(F OR P).

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

1
Solution
d.
1. P(F) = $\frac{45}{100}$
2. P(P) = $\frac{25}{100}$
3. P(F AND P) = $\frac{number of hikers that are both female AND prefers mountain peaks}{number of hikers in study}$ = $\frac{11}{100}$
4. P(F OR P) = P(F) + P(P) − P(F AND P) = $\frac{45}{100}$ + $\frac{25}{100}$ - $\frac{11}{100}$ = $\frac{59}{100}$

How did it go?

Previous (part 3)Next (part 1)

From Statistics (High school edition) by OpenStax (Rice University), section 3.4, licensed under CC BY 4.0. Original at openstax.org. We split the solution into steps; the words, numbers and figures are the book's. OpenStax doesn't endorse this site.