Suppose certain coins have weights that are normally distributed with

a mean of 5.994 g and a standard deviation of 0.059 g. A vending machine is configured to accept those coins with weights between 5.914 g and 6.074 g.
If 270 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.)

if 270 different coins are inserted into the vending machine, what is the probability that the mean falls between the limits of 5.914 g and 6.074 g? The probability is approximately __________. Round to four decimal places as needed.)
Which result will be more important to the owner and why?