The number of eggs laid by a female housefly during her lifetime averages around 400. Suppose that the number of eggs laid varies with a Normal distribution, the mean 400 and standard deviation 50.
(a) What proportion of female houseflies lay at least 510 eggs?
(b) What proportion of femal houseflies lay between 410 and 480 eggs?
(c) Complete the following sentence: Only 2% of female houseflies lay more than ____ eggs.