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hw13 - (v(4 pts Let S be a random switch which operates...

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ENEE 324 ASSIGNMENT 13 Due Thu 10/22 Let X be an exponential random variable with λ = 4. (i) (2 pts.) Give a formula for E [ X n ], where n is a positive integer. (ii) (4 pts.) Determine E [( X - 2) 4 ]. (iii) (5 pts.) Determine E [ Y ], where Y = max { e 2 X , e 2 } . (iv) (5 pts.) Determine E [ d X e ]. ( You may use the formula for the mean of a geometric pmf
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Unformatted text preview: .) (v) (4 pts.) Let S be a random switch which operates independently of X and is such that P [ S = 0] = 1 / 4 and P [ S = 1] = 3 / 4. If V = ( X, when S = 0; X 2 , when S = 1, what is the value of E [ V ]?...
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