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Back to 6.3 Estimating the Binomial with the Normal Distribution

6.3 Exercise 45

Avg difficulty 2.5

Use the following information to answer the next three exercises: The length of time it takes to find a parking space at 9 A.M. follows a normal distribution with a mean of five minutes and a standard deviation of two minutes.

Historically, a final exam in a course is passed with a probability of 0.9. The exam is given to a group of 70 students.

  1. What is the mean of the binomial distribution?
  2. What is the standard deviation?
  3. Can this binomial distribution be approximate with a normal distribution?
  4. If so, use the normal distribution to find the probability that at least 60 of the students pass the exam?

OpenStax Introductory Business Statistics 2e, 6.3 Estimating the Binomial with the Normal Distribution, exercise 45

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