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# quiz5an - Name Quiz#5 Ddath 310-1(re412010 1 Let X be a...

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Unformatted text preview: Name: Quiz #5 Ddath 310-1(re412010) 1. Let X be a Poisson distributed random variable with parameter A > 0. (a) Compute the expectation E(X 0" ,L ‘ L" u/L 00 r“ Em: a x5”,— ={ 2m x50 ' XII % = ,6. ‘A‘e/L: A (b) Compute E(2X). 00 , f: X, X—l/LJ‘, -l~(,_2,t) )' W‘ezwﬁ X50 XIO “" WL Z/L / ,L? C- “ a 5 +3, 2. Let Y be a. geometrically distributed random variable with parameter p, O < p < 1. (Think of Y as measuring the number of failures until ﬁrst success in an inﬁnite sequence of independent Bernoulli trials.) (at) For WhiCh Values 0f 39 does Z = 2y have ﬁnite expectation? _ . (90 3 ._. ‘. EKZyl' 2 Z [/‘fl‘f a z 0 5 § 0 €493 (an wafer emf Glee/é] 6% =3 paw/<1 :3 1794’}, Z w! (b) Compute E(2Y) (provided it exists). ...
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quiz5an - Name Quiz#5 Ddath 310-1(re412010 1 Let X be a...

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