HW1(1) - Econ 4010 Introduction to Econometrics(Spring 2016...

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Econ 4010: Introduction to Econometrics (Spring 2016) http://blackboard.uc.edu/ Homework 1 Due: Thursday February 4 Olivier Parent ( [email protected] ) Assignment 1. Find the following probabilities assuming a normal distribution, with a mean of 7 , 450 and a standard deviation of 300: (a) P ( x 7 , 000); (b) P ( x 8 , 000); 2. Find the following probabilities assuming a normal distribution, with a mean of 7 , 450 and a standard deviation of 300: (a) P ( x 7 , 000); (b) P ( x 8 , 000); (c) P ( x 8 , 250), (d) P (7 , 400 x 7 , 700) 3. A distribution has a normal distribution with a mean of 109 and a standard deviation of 23.5. (a) Calculate the probability of a value being less than 101.3; (b) Calculate the probability of a value being more than two standard deviations above the mean; 4. Let X 1 stand for the rate of return on one security, and let X 2 stand for the rate of return on another security, and let E ( X 1 ) = E ( X 2 ). A
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simple “investment portfolio” would consist of a combination of these two securities.
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