EE230hw6solution

# for ey n is no more constant and must be considered

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Unformatted text preview: m [[ ] [( ⁄ ) ] The MGF of the geometric r.v. () similarity between ∑ ( ) and ∑ (⁄) ( )( ∑ () ( () () ) ( ) . Once we notice the ( ), the answer is )=1/6. 5) a) The MGF (Moment Generating Function ) of obtained as follows: () ∫ { } ( which has a uniform distribution on ( ) ∫ { } ( ) is ) b) Given , it is known that the MGF of sum of independent random variables is equal to multiplication of MGF of each random variable in the sum. Therefore the MGF of Z is obtained as follows: () [ [ ( )] ( ) [ ( ) [ ( ( ) () ( ( ) ) c) The first moment of Z is obtained as follows ( )| Using L’Hopital Rule ( ( )| ) ( is obtained as we should since as R1 and R2 are identically distributed. [ [ ) )|...
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## This homework help was uploaded on 04/06/2014 for the course EEE 230 taught by Professor Mübecceldemirekler during the Spring '12 term at Middle East Technical University.

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