Suppose that a simple random sample of size n is taken from a finite population in which the proportion of members having a specied attribute is p. Let X be the number of members sampled that have the specied attribute. a. If the sampling is done with replacement, identify the probability distribution of X.b. If the sampling is done without replacement, identify the probability distribution of X.c. Under what conditions is it acceptable to approximate the probability distribution in part (b) by the probability distribution in part (a)? Why is it acceptable?

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.