The number of chocolate chips in an 18-ounce bag of chocolate chip cookies is approximately normally distributed with a mean of chips and standard deviation chips. Required:
a. What is the probability that a randomly selected bag contains between and chocolate chips, inclusive?
b. What is the probability that a randomly selected bag contains fewer than chocolate chips?
c. What proportion of bags contains more than chocolate chips?
d. What is the percentile rank of a bag that contains chocolate chips?

Explained below.

Step-by-step explanation:

The number of chocolate chips in an 18-ounce bag of chocolate chip cookies is approximately normally distributed with a mean of 1262 chips and standard deviation 118 chips.

(a)

Compute the probability that a randomly selected bag contains between 1000 and 1400 chocolate chips as follows:

Thus, the probability that a randomly selected bag contains between 1000 and 1400 chocolate chips is 0.8658.

(b)

Compute the probability that a randomly selected bag contains fewer than 1000 chocolate chip as follows:

Thus, the probability that a randomly selected bag contains fewer than 1000 chocolate chip is 0.0132.

(c)

Compute the proportion of bags that contains more than 1200 chocolate chips as follows:

Thus, the proportion of bags that contains more than 1200 chocolate chips is 0.2981.

(d)

Compute the percentile rank of a bag that contains 1125 chocolate chips as follows:

Thus, the percentile rank of a bag that contains 1125 chocolate chips is 12.3rd.

Step-by-step explanation: