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Unformatted text preview: STA 4321/5325 Fall 2010 Exam 2 Full Name: 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. Remember to show your work. Answers lacking adequate justification may not receive full credit. You may use one letter-sized sheet (the same size as the lecture notes) of your own notes and a pocket calculator. (You are not required to bring a calculator you may leave your answers in a form from which the numerical answer could be immediately calculated.) You may not use any books, other references, or text-capable electronic devices. 1. Suppose we have a fair die with six faces numbered 1 , 2 , 3 , 4 , 5 and 6. Let X be the number of times you get 1 , 2 , 3 or 4 in 1900 independent rolls of the die. (a) Which subcollection of discrete random variables does X belong to? [2 pts] (b) Provide E ( X 2 ) + 2 E ( X ). You may use identities established in class about this specific)....
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- Spring '08