STAT220-A1 - and tossed What is the probability that a Tail...

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1 Assignment 1, STAT220-Winter 2011 Due on January 26, 2011 Instructor: Kamyar Moshksar Problem 1 - Fig. 1 demonstrates the blocks in the downtown of a city. There are a total of 60 blocks. A cab driver starts at point A and is called to go to point B. What is the probability that it passes by intersection C shown in the figure. It is assumed that the cab driver only goes towards north or east at each intersection with a probability of 0 . 5 each. B NORTH EAST WEST SOUTH C A Fig. 1. Problem 2- A box contains n balls numbered 1 through n . Suppose k balls are drawn in succession. (a)What is the probability that m is the largest number drawn? (b) what is the probability that the largest number drawn is less than or equal to m ? Problem 3- We have two coins. One is fair and the other is two-headed. A coin is selected at random
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Unformatted text preview: and tossed. What is the probability that a Tail shows up? Problem 4-We have 100 identical balls, i.e., any two of them are the same whatsoever. We want to distribute them in 10 different boxes numbered 1 through 10 . We do not want any box be empty. What 2 is the probability that box # 1 has only one ball in it? Problem 5-A number of 100 athletes numbered 1 through 100 are standing in a row. The athletes with even numbers are male and the athletes with odd numbers are female. A coach randomly selects 20 numbers from 1 to 100 simultaneously. what is the probability that at lease 5 females are selected?...
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