A random sample of n elements is taken from a population

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QUESTION:

A random sample of n elements is taken from a population of size N without replacement. What is the probability that a fixed element of the population is included? Simplify your answer.

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QUESTION:

A random sample of n elements is taken from a population of size N without replacement. What is the probability that a fixed element of the population is included? Simplify your answer.

ANSWER:

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A random sample of n elements is taken from a population of size N without replacement.

The number of ways in which n elements is taken from a population of size N without replacement is .

Thus, the total number of points in sample space is .

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