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12 Nov 2021

Given information

Given that, certain coins have an average weight of 5.201 grams 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. We have to find the expected number of rejected coins when 280 randomly selected coins are inserted into the machine.

Step-by-step explanation

Step 1.

We have 

Then the probability of acceptance is .

Then the probability of rejection=1- the probability of acceptane=

So proportion will be rejected.

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Introductory Statistics
OER Edition, 2013
Openstax
ISBN: 9781938168208

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