Quiz 1 - that the moment generating function of the...

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EC489.02 Summer 2011 Quiz 1 You have 10 minutes to solve the following questions. 1. For a random variable X with E [ X ] = and V ar ( X ) = ± 2 ; and two constants b and c; answer the following questions. (a) (1.5 pts) E [ aX + b ] =? (b) (1.5 pts) V ar ( aX + b ) =? (c) (2 pts) E [ aX + bX 2 ] =? ( Hint V ar ( X ) ) 2. Let X be a random variable distributed with the Exponential distribution. Remember
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Unformatted text preview: that the moment generating function of the Exponential distribution is given by M X ( t ) = 1 (1 & ²t ) : Use this information to &nd (a) (2.5 pts) E [ X ] , (b) (2.5 pts) E [ X 2 ] : 1...
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