This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: Homework 3 Solutions Problem Solutions : Yates and Goodman, 2.2.5 2.3.4 2.3.6 2.4.2 2.4.5 2.5.6 2.5.7 2.6.3 and 2.6.4 Problem 2.2.5 Solution Using B (for Bad) to denote a miss and G (for Good) to denote a successful free throw, the sample tree for the number of points scored in the 1 and 1 is B 1 p G p B 1 p G p Y =0 Y =1 Y =2 From the tree, the PMF of Y is P Y ( y ) = 1 p y = 0 p (1 p ) y = 1 p 2 y = 2 otherwise (1) Problem 2.3.4 Solution (a) Let X be the number of times the frisbee is thrown until the dog catches it and runs away. Each throw of the frisbee can be viewed as a Bernoulli trial in which a success occurs if the dog catches the frisbee an runs away. Thus, the experiment ends on the first success and X has the geometric PMF P X ( x ) = (1 p ) x 1 p x = 1 , 2 , . . . otherwise (1) (b) The child will throw the frisbee more than four times iff there are failures on the first 4 trials which has probability (1 p ) 4 . If p = 0 . 2, the probability of more than four...
View
Full
Document
This note was uploaded on 04/03/2008 for the course EEE 350 taught by Professor Duman during the Fall '08 term at ASU.
 Fall '08
 Duman

Click to edit the document details