# 3 - MIT OpenCourseWare http:/ocw.mit.edu 14.30 Introduction...

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MIT OpenCourseWare http://ocw.mit.edu 14.30 Introduction to Statistical Methods in Economics Spring 2009 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms .

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Problem Set #3 14.30 - Intro. to Statistical Methods in Economics Instructor: Konrad Menzel Due: Tuesday, March 3, 2009 Question One 1. Write down the definition of a cumulative distribution function (CDF). Explain what it means in words, perhaps using an example. 2. Verify whether the following function is a valid CDF. If yes, draw a graph of the corresponding PDF. x F x (x) 1 3 4 1 2 1 5 1 2 3 4 5 3. Verify that the following function is a valid PDF and draw the corresponding CDF. F x (x) 1 2 3 4 5 6 x 1 3 Image by MIT OpenCourseWare. Image by MIT OpenCourseWare.
Question Two 1. Give a p.d.f, whose c.cLf, is not wntinuous but right-continuous. %e/f~/uncertaix AIways give a bfief explanation if the statement tme, or counter-examples and a short ~Ianation of wunter-wmpleer Ealse mrt;ain, 1. If P(Al B> > P(A) P(AIC) > P(A), then P(AIB,C) P(A). 2.

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## This note was uploaded on 01/30/2010 for the course STAT 430 taught by Professor Jones during the Fall '10 term at Napa Valley College.

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3 - MIT OpenCourseWare http:/ocw.mit.edu 14.30 Introduction...

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