Unformatted text preview: (b) If selected ball is blue ﬁnd the probability that it was selected from the yellow box. (c) If selected ball is blue ﬁnd the probability that it was selected from the green box. 4. Let X be binomial random variable with parameters n = 5 and p = 0 . 2. Compute E ((3 X + 1) 2 ). 5. Let X be normally distributed random variable with parameters μ and σ 2 , i.e. E ( X ) = μ, Var( X ) = σ 2 . Further, let Y be uniform random variable deﬁned on the interval [ a,b ], i.e., p ( y ) = ( 1 b-a a ≤ y ≤ b otherwise . Assuming that X and Y are independent ﬁnd E ((7 X-2 Y-1 ) 2 ). 1...
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- Spring '08
- Probability, Probability theory, bad chips