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Unformatted text preview: HW#9, Due 05/13 AMS 311 Probability Theory (Spring 2011) Read: Ross, Chapter 8, Section 8.1-8,3, 8.5. Examples to read carefully: Ch8: 2a, 2b, 3a, 3b, 3c, 3d, 5a. Part 1 (10 points): PRINT your name and StonyBrook ID ( Last, First, #ID ) on the top on your work sheet. Staple your HW if more than 1 pages. Part 2: Problems (90 points) Write down your work step by step to get full score. You do not need to evaluate arithmetic expressions or integrals, if they are fully specified. For example, you may leave in this form. (1) (30 points) The AMS department receives, on average, three requests per day for students to sign into the major. We do not know the probability distribution for the number, Xi, of students who sign into the AMS major on day i. (a) Let p be the probability that five or more students sign into the AMS major on Monday. Give the best guaranteed estimate you can for the probability p. (What inequality are you using?) (b) For the next three parts ((b), (c), (d)) assume that we also know that the variance, var(Xi), is...
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- Spring '08