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Back to 6.3 Estimating the Binomial with the Normal Distribution

6.3 Exercise 44

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.

A hospital has 49 births in a year. It is considered equally likely that a birth be a boy as it is the birth be a girl.

  1. What is the mean?
  2. What is the standard deviation?
  3. Can this binomial distribution be approximated with a normal distribution?
  4. If so, use the normal distribution to find the probability that at least 23 of the 49 births were boys.

OpenStax Introductory Business Statistics 2e, 6.3 Estimating the Binomial with the Normal Distribution, exercise 44

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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.