Suppose certain coins have weights that are normally distributed with

a mean of 5.156 g and a standard deviation of 0.068 g. A vending machine is configured to accept those coins with weights between 5.026 g and 5.286 g.

a. If 250 different coins are inserted into the vending machine, what is the expected number of rejected coins?

The expected number of rejected coins are _________ (round to the nearest integer.)

b. If 250 different coins are inserted into the vending machine, what is the probability that the mean falls between the limits of 5.026 g and 5.286 g?

The probability is approximately ___________ (round to four decimal places as needed.

Which of the results is more important to the owner of the vending machine? Why? please select a, b, c, or d

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

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

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

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

a

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