231hw4solutionsF11

231hw4solutionsF11 - Will Landau September 19, 2011 STAT...

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Unformatted text preview: Will Landau September 19, 2011 STAT 231 Problem Set 4 Solutions Exercise 4.1. Ill walk you through how to generate one of the pmfs. Lets say I want to generate the pmf for Poisson( =4). My data looks ilke this so far: I double-click on the title of the far-right column (the one I want to fill in) and get this: 1 I go to Column Properties > Formula: I get the following screen and click on the Edit Formula button: 2 The formula-editing window comes up. I go to Discrete Probability > Poisson Probability as I show below (Note: Poisson Distribution gives the cdf, not the pmf): And voila: 3 I enter 4 where the formula says lambda and click and drag x from the upper left area of the window to where the formula says k. I click the Apply button, and the column fills up like so: Theres no built-in formula for the geometric distribution, so youll have to write your own in a similar way. Youve already used Graph Builder, so I 4 didnt walk you through that bit. Here are the plots: 5 6 7 Exercise 4.2. Note: you can add rows by clicking on one of the red triangles in the upper left-hand corner of a data table. Here are my simulated plots. They should look like the analogous plots for the previous problem. Exercise 4.3 (Devore 3.48, 3.49, 3.50, 3.51, 3.60) . 3.48 a. P ( X 2) = 2 i =0 b ( i ;25 ,. 05) = 2 i =0 ( 25 i ) ( . 05) i ( . 95) 25- i = .873 b. P ( X 5) = 1- P ( X 4) = 1- 4 i =0 b ( i ;25 ,. 05) = 8 1- 4 i =0 ( 25 i ) ( . 05) i ( . 95) 25- i = 1- . 993 = .007 c. P (1 X 4) = 4 i =1 b ( i ;25 ,. 05) = 4 i =1 ( 25 i ) ( . 05) i ( .....
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This note was uploaded on 02/11/2012 for the course STAT 231 taught by Professor Staff during the Fall '08 term at Iowa State.

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231hw4solutionsF11 - Will Landau September 19, 2011 STAT...

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