The number of chocolate chips in an 18-ounce bag of Chips Ahoyl chocolate chip cookies is approximately normally distributed, with a mean of 1262 chips and a standard deviation of 118 chips, according to a study by cadets of the U.S. Air Force Academy. (a) Determine the 27th percentile for the number of chocolate chips in an 18-ounce bag of Chips Ahoyl cookies. (b) Determine the number of chocolate chips in a bag of Chips Ahoy! that make up the middle 98% of bags. (c) What is the interquartile range of the number of chips in Chips Ahoy! cookies? (a) The 27th percentile for the number of chocolate chips in an 18-ounce bag of Chips Ahoy! cookies is 1190 chocolate chips. (Round to the nearest whole number as needed.) (b) The number of chocolate chips in a bag of Chips Ahoyl that make up the middle 98% of bags is to chocolate chips. (Round to the nearest whole number as needed. Use ascending order.)

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Permutations and Combinations

If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.

Counting Theory

The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.