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Exercises Probability and the bell curve

Example 5.4 from Statistics, 5.2 The Uniform Distribution

(part 2)

b. On the average, how long must a person wait? Find the mean, μ, and the standard deviation, σ.

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.

Solution
b. μ = $\frac{a + b}{2}$ = $\frac{15 + 0}{2}$ = 7.5. On the average, a person must wait 7.5 minutes.

σ = $\sqrt{\frac{(b - a)^{2}}{12}} = \sqrt{\frac{(15 - 0)^{2}}{12}}$ = 4.3. The standard deviation is 4.3 minutes.

How did it go?

Previous (part 1)Next (part 3)

From Statistics (High school edition) by OpenStax (Rice University), section 5.2, 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.