5.- Let X be a discrete random variable that takes the values 1, 2 and 3 with probabilities , y, respectively. Consider the possible simple random samples of size two. (a) Determine the distribution of the sample mean (that is, ƒ X (·)). (b) Check that the expectation of the sample mean is equal to the population mean. (c) Check that the variance of the sample mean is equal to the population variance divided by the sample size.

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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.