he distributión function of the random variable X iS given by 1-(1+x)e for x>0 for xS0 F(x) = Find P(X S2), P(1 4). 38. With reference to Exercise 37, find the probability density of X.

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Q: 15. An insurance policy reimburses the excess of a loss over 2. The policy- holder's loss, Y,…

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A: Given :  Variance can be obtain by the formula :  First Calculate Mean :  .............(1)

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Q: (a) Give the marginal density functions for both random variables. Are the independent? (b) What is…

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Q: Let the density function of a random variable X be given by f(x)3 0x, 0SXS1 Compute the sufficient…

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Q: 2. Find the mgf of the random variable Y = e-AX when X ~ Exp(A). What is the name of the…

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Q: Suppose that the random variable X has density function fx (x) = bx-1 for 0 < x < 1, where b is a…

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Q: Consider the random variable T with probability density function for 1 <t< 3, f(t) = otherwise.…

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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.