At the Sterling Chocolate Factory, a particular machine on the chocolates assembly line fails to insert the correct cream filling approximately 1.2% of the time. Chocolates without the correct filling...

At the Sterling Chocolate Factory, a particular machine
on the chocolates assembly line fails to insert the correct cream filling
approximately 1.2% of the time. Chocolates without the correct filling
cannot be processed into boxes of chocolates for shipping.
a) Find the mean and standard deviation for the number of incorrectly
filled chocolates per 10,000 made on the assembly line.
b) In a particular batch of 10,000 chocolates, would 400 incorrectly filled
chocolates be unusually low or unusually high?