Question

Suppose certain coins have weights that are normally distributed with a mean of 5.271 g and a standard deviation of 0.079 g. A vending machine is configured to accept those coins with weights between 5.181 g and 5.361 g.

a. If 300 different coins are inserted into the vending machine, what is the expected number of rejected coins?

The expected number of rejected coins is __________. (Round to the nearest integer.)

b. If 300 different coins are inserted into the vending machine, what is the probability that the mean falls between the limits of 5.181 g and 5.361 g?

The probability is approximately __________. (Round to four decimal places as needed.)

Answer #1

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a. If 280 different coins are inserted into the
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3. Weights of quarters are normally distributed with a mean of
5.67 g and a standard deviation of 0.06 g. Some vending machines
are designed so that you can adjust the weights of quarters that
are accepted. If many counterfeit coins are found, you can narrow
the range of acceptable weights with the effect that most
counterfeit coins are rejected along with some legitimate
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3. a) If you adjust your vending machines to accept
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the range of acceptable weights with the effect that most
counterfeit coins are rejected along with some legitimate
quarters.
3. a) If you adjust your vending machines to accept
weights between 5.60 g and 5.74...

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