Unformatted text preview: Var(X) = 10 Var (Y) = 5 Cov (X, Y) = 5 Find the marginal distribution of y. (Form of distribution and parameters.) Find the conditional distribution of y given x = 3 Find the conditional distribution of x given y = 2. Use the formulas that are in question 5.129, 7 th edition [ 5.109, 6 th edition ] in your book. You do not need to prove the formulas. Find the value of the correlation coefficient. E . The probability density function if the failure time of a pump is uniform (i.e. it has a constant value, k ) between 0 and 100 months and zero elsewhere. a) Find k b) Find and plot the hazard function, h(t) . c) Find the expected life of the pump....
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 Spring '08
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 Economics, Normal Distribution, Probability theory, probability density function, bivariate normal distribution, Joint probability distribution, conditional distribution

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