18. The distribution ages for students at the state college is positively skewed with a mean of u = 21.5 and a standard deviation of o = 3. %3D a. What is the probability of selecting a random sam- ple of n = 4 students with an average age greater than 23? (Careful: This is a trick question.) b. What is the probability of selecting a random sample of n = 36 students with an average age greater than 23? c. For a sample of n = 36 students, what is the prob- ability that the average age is between 21 and 22?

Q: Find the 36.

A: Given

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Q: Questions 37-40

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Q: Question 51

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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.