Assign_1_W11

Assign_1_W11 - STAT 231 Winter 2011 ASSIGNMENT 1 DUE DATE:...

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1 STAT 231 Winter 2011 ASSIGNMENT 1 DUE DATE: Noon on Thursday, JANUARY 27 TH , 2011 Your instructor will announce in class where you should hand in your assignment.
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2 This assignment has two parts. The maximum score is 61 points Part 1 This part consists of questions from stat 230. The concepts tested here will be used later on in our course. Total Points in Part I: 6+6+8+3=23 points 1) (2+2+2=6 points) Suppose X is a discrete random variable with a probability function p ( x ) = k ( 1 3 ) x , x = 0,1,2,. ... a) Find the value of k (up-to two decimal places). b) Find P ( X 5) (to three decimals). c) P(X is odd) (to two decimal places). 2) (2+4=6 points) Suppose Y 1 and Y 2 are two independent random variables, each with probability function y 1 2 3 4 P(Y=y) 1/10 2/10 3/10 4/10 a) If W=max(Y 1 ,Y 2 ), find the Probability P(W=3). b) Find E(W), to two decimal places. 3) (2+2+2+2=8 points) Suppose a fair die is rolled 10 times, and Y i = the number of times face i occurs, i=1,2,…,6. For the following statements below, discuss whether they are true or false. (Answers without adequate explanation will not get credit.) a) Y 1 and Y 2 are independent random variables. b) The random variable T=Y
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Assign_1_W11 - STAT 231 Winter 2011 ASSIGNMENT 1 DUE DATE:...

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