A sociologist is investigating the changing pattern of the number of children which wpmen have in a country. She denotes the present number by the random variable X which she finds to have the following probability distribution. x0 1 2| 3 4 5+ |P(X) 0.09 0.22 | a 0.19 0.080 (a) Find the value of a. (a) (b) Find the probability that a woman has at least 2 children. (b) (c) Find the mean of the probability distribution. (c)

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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.