A 13 Suppose that P(X = a) = p. P(X = b} = 1- p, a. Show that X-b b. Find Var(X) is a Bernoulli random variable R.D.R EGALA STAT 203 March 4, 2021 A 14 The distribution function of the continuous random variable X is 0, F(x) =31-k a) Find the value of k b) Sketch the graph of F(x) c) Find i. P(X < 4) ii. P(4 6) d) Find the p.d.fof X A 15 A continuous random variable X has the p.d.f. 10- e-a x 20 f(x) 0, x <0 Where c is a constant. a) Find the value of c b) Find the cumu lative distribution function of X and sketch its graph c) Find i) P(X > 8|X > 3) ii) P(X > 1|X < 4)

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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.