The number of chocolate chips in an18-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 chocolatechips?

(b) What is the probability that a randomly selected bag contains fewer than 1000 chocolatechips?

(c) What proportion of bags contains more than 1175 chocolatechips?

(d) What is the percentile rank of a bag that contains 1425 chocolatechips?

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(a) The probability that a randomly selected bag contains between 1100 and 1400 chocolate chips is

nothing

.

(Round to four decimal places asneeded.)

(b) The probability that a randomly selected bag contains fewer than 1000 chocolate chips is

nothing

.

(Round to four decimal places asneeded.)

(c) The proportion of bags that contains more than 1175 chocolate chips is

nothing

.

(Round to four decimal places asneeded.)

(d) A bag that contains 1425 chocolate chips is in the

nothing

st percentile.

(Round to the nearest integer asneeded.)