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Suppose certain coins have weights that are normally distributed with a mean of 5.271 g and...

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.)

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