stats - lab_1 - IOE 265 Fall 07 Lab 1 Counting Rules and...

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IOE 265 – Fall 07 September 13, 2007 Note: Please make sure you type in your answers in the spaces provided and submit this file electronically via the CTools website under Assignments. Save this file as ‘ uniquename _lab_1’ with your own uniquename. (For all of these questions, assume that one year simply has 365 days.) 1. Three people are selected at random; what is the probability that at least two of them share the same birthday? (1 point) 2. Now suppose that ‘n’ people are selected at random; what is the probability that at least two of the ‘n’ people have the same birthday? (1 point) 3. Based on the above equation, use Microsoft Excel to build a chart that calculates the probability that at least two people have the same birthday for n = {1, 2, 3…99, 100}. See lab video for help on constructing this chart. Using this chart, at least how many people must be in a group for there to be a greater than 50% chance that at least two people have the same birthday (part a)? How many for a greater than 90% chance (part b)? (1 point)
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