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Back to 6.3 Estimating the Binomial with the Normal Distribution

6.3 Exercise 42

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 $1 scratch off lotto ticket will be a winner one out of five times. Out of a shipment of n = 190 lotto tickets, find the probability for the lotto tickets that there are

  1. somewhere between 34 and 54 prizes.
  2. somewhere between 54 and 64 prizes.
  3. more than 64 prizes.

OpenStax Introductory Business Statistics 2e, 6.3 Estimating the Binomial with the Normal Distribution, exercise 42

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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.