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HW6_Spring11 - ELEC210 Spring 2011 Homework 6 1 Let X and Y...

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ELEC210 Spring 2011 Homework 6 1. Let X and Y have joint pdf: ( ) (a) Find ( ) . (b) Find . (c) Find using part b. (d) Find . 2. A message requires N time units to be transmitted, where N is a geometric random variable with pmf ( ) A single new message arrives during a time unit with probability , and no messages arrive with probability . Let K be the number of new messages that arrive during the transmission of a single message. (a) Find and using conditional expectation. (b) Find the pmf of . Hint: ( ) ( ) ( ) . 3. The number X of goals the Bulldogs score against the Flames has a geometric
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