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Back to 4.6 Poisson Distribution

4.6 Exercise 7

Avg difficulty 2.5

According to Baydin, an email management company, an email user gets, on average, 147 emails per day. Let X = the number of emails an email user receives per day. The discrete random variable X takes on the values x = 0, 1, 2 …. The random variable X has a Poisson distribution: X ~ P(147). The mean is 147 emails.

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

OpenStax Introductory Statistics 2e, 4.6 Poisson Distribution, exercise 7

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Adapted from Introductory Statistics 2e © 2023 Rice University. Licensed under CC BY 4.0. Source: Introductory Statistics 2e. Imported at revision 50ec917.