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Exercises Probability and the bell curve

Example 4.29 from Statistics, 4.6 Poisson Distribution (Optional)

Poisson Distribution (Optional): example 4.29

What is the probability that an email user receives exactly 160 emails per day?
What is the probability that an email user receives at most 160 emails per day?
What is the standard deviation?

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
1. P(x = 160) = poissonpdf(147, 160) ≈ .0180
2. P(x ≤ 160) = poissoncdf(147, 160) ≈ .8666
3. Standard Deviation = $σ = \sqrt{μ} = \sqrt{147} \approx 12.1244$

How did it go?

Previous (part 3)Next Poisson Distribution (Optional): example 4.30

From Statistics (High school edition) by OpenStax (Rice University), section 4.6, 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.