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Unformatted text preview: If g ( ) is replaced by h ( x ) = p  x  determine the cdf and pdf of Y = h ( X ) when X is Gaussian with mean 1 and variance 4. Problem 12B The pdf of the random variable X is shown below. f X ( x ) 0 4 6 x 1/3 1/3 (i) (5 pts.) Determine E [ X ]. (ii) (5 pts.) Determine E [ X 2 ]. (iii) (5 pts.) Determine E [ Y ], where Y = min { X 2 , 4 } . (iv) (5 pts.) For the random variable V with pdf as shown below, determine the position a of the discrete mass so that E [ V ] = E [ X ]. f V ( v ) 0 a 4 8 v 2/3 1/12...
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 Fall '05
 Ephrimedes

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