# fexam-f08 - Economics 506 FINAL EXAM FALL 2008 Name e-mail...

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Economics 506 FALL 2008 FINAL EXAM Name: ___________________________________e-mail:_______________________ 1) [14] 40% of all shoppers at Schnucks are men. 70% of men shoppers buy Pepsi. 20% of women shoppers buy Pepsi. What is the probability that a shopper is a man given they buy Pepsi? 2)[20] A discrete bivariate distribution is the following: Y -1 +1 0 | .3 .1 X 1 | .2 0 2 | 0 .4 a) Is this an appropriate probability distribution? b) Find marginal distribution of X. (Use the back side if you need to) 1

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Economics 506 FALL 2008 FINAL EXAM c) Find the mean, variance, and standard deviation of X. d) Find the conditional distribution of X given Y = -1. e) Find the mean and variance of X given Y = -1 (Use the back side if you need to) 2
FALL 2008 FINAL EXAM f) Find the covariance of X and Y. g) Find the correlation coefficient of X and Y. 3)[12] X and Y have a joint bivariate normal distribution with the following parameters: μ x = -2, μ y = + 12, σ x = 2, σ y = 5, ρ = -0.6 a) Specify the form and the parameters of the marginal distribution of Y . b) Specify the form and the parameters of the conditional distribution of (Y | X = 4). (Use the back side if you need to)

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fexam-f08 - Economics 506 FINAL EXAM FALL 2008 Name e-mail...

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