Skip to content

Physics Playground

Simulations How we teach Pricing

Language

Log in Start learning free

Loading…

Physics Playground

Built on open, peer-reviewed sources: OpenStax, The Feynman Lectures on Physics, HyperPhysics, NASA and NIST. See our sources.

Learn

Physics course
Math for Physics
Start with the math toolkit
Simulations
Glossary
Exercises
Past exams
Library
How we teach

Company

Pricing
Terms
Privacy
Contact

© 2026 Physics Playground. Made for the curious.Language

Exercises Probability and the bell curve

Example 3.21 from Statistics, 3.4 Contingency Tables

(part 2)

b. Are the events being female and preferring the coastline independent events?

Let F = being female and let C = preferring the coastline.

Find P(F AND C).
Find P(F)P(C).

Are these two numbers the same? If they are, then F and C are independent. If they are not, then F and C are not independent.

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
b.
1. P(F AND C) = $\frac{18}{100}$ = .18
2. P(F)P(C) = $(\frac{45}{100}) (\frac{34}{100})$ = (.45)(.34) = .153
P(F AND C) ≠ P(F)P(C), so the events F and C are not independent.

How did it go?

Previous (part 1)Next (part 3)

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.