Suppose certain coins have weights that are normally distributed with a mean od 5.492 g and a standard deviation of 0.062 g. A vending machine is configured to accept those coins with weights between 5.382 g and 5.602 g.
A) If 290 different coins are inserted into the vending machine, what is the expected number of rejected coins?
B) If 290 different coins are inserted into the vending machine, what is the probability that the mean falls between the limits of 5.382 g and 5.602 g?