The number of chocolate chips in an 18-ounce bag of chocolate chip cookies is approximately normally distributed with mean 1252 and standard deviation 129 chips.
(a) What is the probability that a randomly selected bag contains between 1100 and 1400 chocolate chips?
(b) What is the probability that a randomly selected bag contains fewer than 1050 chocolate chips?
(c) What proportion of bags contains more than 1175 chocolate chips?
(d) What is the percentile rank of a bag that contains 1475 chocolate chips?
