The annual per capita consumption of ice cream (in pounds) in the United States can be approximated by a normal distribution with mean of 20.7 lbs and a standard deviation of 4.2 lbs. (NOTE: the terminology per capita is commonly used in statistics to report an average per person. Therefore, the wording "annual per capita consumption of ice cream (in pounds)" is referring to how many pounds of ice cream a person eats on average in a year.) Identify the individual: 4. Identify the variable: 5. Identify the type of variable Qualitative Quantitative discrete Quantitative continuous 6. What is the wording of the random variable X in the context of this problem? The random variable X is 7. What symbol is used when referring to the mean of 20.7 lbs? • n • N x (x-bar) 8. What symbol is used when referring to the standard deviation of 4.2 lbs.? n N

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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.