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assign08 - Math 302.102 Fall 2010 Assignment#8 This...

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Math 302.102 Fall 2010 Assignment #8 This assignment is due at the beginning of class on Monday, November 29, 2010. 1. A box contains three white balls and four red balls. Suppose that 100 balls are drawn from this box at random with replacement. Write down an exact binomial expression for the probability that at least 50 balls drawn are red. In other words, if X denotes the number of red balls drawn, determine P { X 50 } . Use a suitable normal approximation to estimate this probability. (Even if you can determine the binomial probability exactly, I still want you to do the normal approximation.) 2. Suppose that you play the following game. You pay \$4 and roll a single standard six-sided die. You win \$ X if an X appears on your roll. Thus, your net winnings (or net gain if you prefer) is X - 4. Suppose that you then play this game 100 times. Use a suitable normal approximation to answer the following questions. (a)

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This note was uploaded on 04/07/2011 for the course MATH 302 taught by Professor Israel during the Spring '08 term at UBC.

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assign08 - Math 302.102 Fall 2010 Assignment#8 This...

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