Dottie's Tax Service specializes in tax returns for professional clients, such as physicians, dentists, accountants, and lawyers. A recent audit of the returns she prepared indicated that an error was made on 4.3 percent of the returns she prepared last year. Use the normal approximation to the binomial distribution to answer all parts of this question. Assuming this rate continues into this year and she prepares 46 returns, what is the probability that she makes errors on a. More than 5 returns? (Round z-score computation to 2 decimal places and the final answer to 4 decimal places.) Probability b. At least 5 returns? (Round z-score computation to 2 decimal places and the final answer to 4 decimal places.) Probability

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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.