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Back to 7.3 Using the Central Limit Theorem

7.3 Exercise 59

Avg difficulty 2.5


For each problem, wherever possible, provide graphs and use a calculator.

Certain coins have an average weight of 5.201 g with a standard deviation of 0.065 g. If a vending machine is designed to accept coins whose weights range from 5.111 g to 5.291 g, what is the expected number of rejected coins when 280 randomly selected coins are inserted into the machine?

OpenStax Statistics, 7.3 Using the Central Limit Theorem, exercise 59

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Adapted from Statistics © 2022 Rice University. Licensed under CC BY 4.0. Source: Statistics. Imported at revision 7dea80a.