The number of chocolate chips in an 18-ounce bag of chips ahoy! chocolate chip cookies is approximately normally distributed with a mean of 1262 chops and standard deviation 118 chips according to a study by cadets of u. s. air force academy. (source: brad warner and jim rutledge, chance 12(1): 10-14, 1999)

(a) what is the probability that a randomly selected 18-ounce bag of chips ahoy! contains fewer than 1000 chocolate chips? (use 2-table)

(b) what is the probability that a randomly selected 18-ounce bag of chips ahoy! contains more than 1200 chocolate chips?

(c) what is the probability that a randomly selected 18-ounce bag of chips ahoy! contains between 1000 and 1400 chocolate chips, inclusive?

a) 0.013

b) 0.7

c) 0.866

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 1262

Standard Deviation, σ = 118

We are given that the distribution of number of chocolate chips is a bell shaped distribution that is a normal distribution.

Formula:

a) P(fewer than 1000 chocolate chips)

P(x < 1000)

Calculation the value from standard normal z table, we have,  

b) P(contains more than 1200 chocolate chips)

Calculating the value from the standard normal table we have,

c)P(contains between 1000 and 1400 chocolate chips)

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