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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 letter-size sheet of your own notes and a standard scientific calculator. You may not use any other references (e.g. books, notes, or text-capable 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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- Spring '08
- Probability, Probability theory