Suppose certain coins have weights that are normally distributed with a mean of 5.172 g

5.172g and a standard deviation of 0.073 g

0.073g. A vending machine is configured to accept those coins with weights between 5.042

5.042 g and 5.302

5.302 g.

a. If 280

280 different coins are inserted into the vendingmachine, what is the expected number of rejectedcoins?

The expected number of rejected coins is :

21. (Round to the nearestinteger.)

b. If 280

280 different coins are inserted into the vendingmachine, what is the probability that the mean falls between the limits of 5.042

5.042 g and 5.302

5.302 g?

The probability is approximately:

0.9998. (Round to four decimal places asneeded.)

PLEASE NOTE THERE ARE TWO QUESTIONS FOR THIS PROBLEM.