For each of the following, determine whether the given values can serve as the values of a probability dis-tribution of a random variable with the range x = 1, 2, 3, and 4:(a) f(1) = 0.25,f(2) = 0.75,f(3) = 0.25, and f(4) =−0.25;(b) f(1) = 0.15,f(2) = 0.27,f(3) = 0.29, and f(4) = 0.29;(c) f(1) = 119 , f(2) = 1019 , f(3) = 219 , and f(4) = 519 .

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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.