1) Consider the experiment consists of two independent rolls of a 4-sided fair die. Let X be a random variable which is defined as the minimum of rolls. a) Describe the underlying sample space 2 of this random experiment and show the mapping from 2 to Sy the range of X. b) Find and sketch the PMF of X by using proper notation. c) Find the expected value and variance of X.

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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.