Unformatted text preview: probability 1p . Let X denote the lifetime of the bulb. Find ) ( X E and ) var( X . 3. Let 4 3 2 1 and , , , X X X X be independent continuous random variables having a common distribution function F and density function f , and let }. { 4 3 2 1 X X X X P I < < < = Compute I . 4. The random variable X is stochastically larger than Y , written , Y X st ± if for all t , }. { } { t Y P t X P > ± > Show that if , Y X st ± where X and Y are nonnegative random variables, then ]. [ ] [ Y E X E ±...
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 Fall '08
 Feinberg,E
 Probability theory, nonnegative random variables, Probability Common Qualifying

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