chap2 prob9

# chap2 prob9 - ECE 316 Probability Theory and Random...

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ECE 316 – Probability Theory and Random Processes Chapter 4 Solutions (Part 1) Xinxin Fan Problems 5. Let X represent the diﬀerence between the number of heads and the number of tails obtained when a coin is tossed n times. What are the possible values of X ? Solution. Let i be the number of tails when a coin is tossed n times. Then the number of heads is n - i . Therefore, we obtain X = ( n - i ) - i = n - 2 i , where i = 0 , 1 ,...,n . 7. Suppose that a die is rolled twice. What are the possible values that the following random variables can take on (a) the maximum value to appear in the two rolls; (c) the sum of the two rolls. Solution. (a) The maximum value to appear in the two rolls can take on 1 , 2 , 3 , 4 , 5 and 6. (c) The sum of the two rolls can take on any integer k between 2 and 12. 13. A salesman has scheduled two appointments to sell encyclopedias. His ﬁrst appointment will lead to a sale with probability 0 . 3 , and its second will lead independently to a sale with proba-

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## This note was uploaded on 09/24/2009 for the course IE 221 taught by Professor Georgewilson during the Spring '08 term at Lehigh University .

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chap2 prob9 - ECE 316 Probability Theory and Random...

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