EE302%20hw6_fa06

# EE302%20hw6_fa06 - EE302 Homework#6 Assigned Due(by 4:30 in...

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Hint: 1 2 1 2 1 2 EE302 Homework #6 | th A B A B X X X X X t X t ,X t X t X t ,X t K t K t ,K t K K K K 1 2 1 2 1 2 1 2 1 2 2 2 1 2 ( ) ( ) ( ) 1 2 1 2 1 2 1 2 ( ) ( ) ( ) 1 2 1 2 ( ) ( ) ( ) 1 2 1 2 2 1 2 2 1 1 2 1 2 1 2 1 1 2 ( ) 0 5 1 ( ) ( ) 0 5 ( ) ( ) ( ) ( ) = ( ) ( ) ( ) ( ) ( ) = + ( ) ( ) ( ) ( ) ( ) ( ) ( )? ( ) ( ) = ) ( ) ( ) = )? ( ) ( ) = ) ( ) 0 ( ) ) ( ) ( ) ( ) = ) Pr ( ( ) = ( ) = ) = Pr ( ( ) = ) 0 ( ) ( ) ( ) ( )? X t , t < , i t < i, X t i x t , t < . X t t. X t . X t X t t t . X t X t . t t X t X t X t At B, , < t < , A B f a f b A B, X t . m t R t , t X t m R f x , f x , x t t . A B X t X t t t f x , f x , x t t K t , t , K t t . K t . p k p k , k t t . t > t K t k K t k K t t k k k k . m t R t , t . K t m R Assigned 11/30/06, Due 12/7/06 (by 4:30 in dropbox in MSEE 330) 1. A random process is generated by ipping a coin ve times. During the interval from the value of is equal to one if the ip of the coin is a head and zero otherwise. (a) Sketch some sample functions How many sample functions are there? (b) Find the pmf for for xed Also nd the mean value and variance of (c) Find the joint pmf for and for xed Also nd the correlation coeﬃcient for and For what values of and are and uncorrelated? 2. Let where and are independent random variables, with pdfs and ,means
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