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Chapter 7: Q.97 (page 438)

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

Short Answer

Expert verified

Therefore the probability that accepted coins weights will lies 5.111gram to 5.291gram of randomly selected 280 coins is 1 . Thus, all the coins lie within the given limits.

Step by step solution

01

Given Information

Given in the question that,

the standard deviation of 0.065 g,

02

Explanation

The average weight of coins is 5.201grammes, with a standard variation of 0.065grammes, according to the information provided. To compute the chance that the weights of randomly picked 280coins will range from 5.111grammes to 5.291grammes, use the Ti-83 calculator. To do so, go to 2nd, then DISTR, and then scroll down to the typical CDF option and enter the supplied information. Then, on the calculator, press the ENTER key to get the desired result. Below is an example of a screenshot.

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