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Unformatted text preview: STA 4321/5325  Spring 2010 Exam 4 April 19, 2010 Full Name: KEY On my honor, I have neither given nor received unauthorized aid on this examination. Signature: This is a 50 minute exam. There are 4 problems, worth a total of 40 points. You may use one lettersize sheet of your own notes and a standard scientific calculator. You may not use any other references (e.g. books, notes, or textcapable devices). You are not required to bring a calculator you may leave your answers in an arithmetic form from which the numerical answer could be immediately calculated. Remember to show your work. Answers lacking adequate justification may not receive full credit. Write all answers in the spaces provided. If you require more space to write your answer, you may use the back side of the page. Please have your UF student ID card available. GOOD LUCK. Note: You may need the following information to solve the problem 4. If X Binomial( n,p ) then E ( X ) = np , V ( X ) = np (1 p ) If Y Uniform( a,b ) then E ( Y ) = a + b 2 , V ( Y ) = ( b a ) 2 12 1 Problem 1: The joint probability mass function p ( x,y ) of discrete random variables X and Y is given in the table below. (For x or y not in the table, p ( x,y ) = 0.) The values of c 1 and c 2 are constant. Suppose X and Y have the same marginal distribution. X p ( x,y ) 1 0.16 c 1 Y 1 0.24 c 2 (a) [2 pts] Find the values of c 1 and c 2 ....
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This note was uploaded on 06/05/2011 for the course STA 4321 taught by Professor Staff during the Spring '08 term at University of Florida.
 Spring '08
 Staff
 Probability

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