1. Consider the following probability distribution 0 4 6 p(x) a List all the different samples of n-2 b. Calculate the mean of each different sample. c. of a sample of n=2 measurements is randomly selected from the population, what is the probability that a specific sample will be selected? ted from this pop d. Assume that a random sample of n-2 measurements is selected from a population List the different values of x and find the probability of each. Then give the sampling distribution of the sample mean x in tabular form. e. Construct a probability histogram from the sampling distribution ofx
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.
Parts A, B, and C.
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