Question: Suppose certain coins have weights that are normally distributed with a mean of 5.799g and a standard deviation of 0.065g. A vending machine is configured

Suppose certain coins have weights that are normally distributed with a mean of 5.799g and a standard deviation of 0.065g. A vending machine is configured to accept those coins with weights between 5.679g and 5.919g.

a. If 300 different coins are inserted into the vendingmachine, what is the expected number of rejectedcoins?

The expected number of rejected coins is

19. (Round to the nearestinteger.)

b. If 300 different coins are inserted into the vendingmachine, what is the probability that the mean falls between the limits of 5.679g and 5.919g?

The probability is approximately

0.9998

0.9998. (Round to four decimal places asneeded.)

c. Which results is more important to the owner of the vendingmachine? Why?

A.

Part(b) because the average result is more important.

B.

Part(b) because rejected coins could mean lost sales.

C.

Part(a) because the average result is more important.

D.

Part(a) because rejected coins could mean lost sales. ****Please help me with part C of this question

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