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Back to 6.3 Estimating the Binomial with the Normal Distribution

6.3 Exercise 23

Avg difficulty 2.5

X ~ N(54, 8)

A multiple choice test has a probability any question will be guesses correctly of 0.25. There are 100 questions, and a student guesses at all of them. Use the normal distribution to approximate the binomial distribution, and determine the probability at least 30, but no more than 32, questions will be guessed correctly.

OpenStax Introductory Business Statistics 2e, 6.3 Estimating the Binomial with the Normal Distribution, exercise 23

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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.