Unformatted text preview: E ( U  V = v ). (20) 4. Let Z 1 ,Z 2 , ··· ,Z n be n IID N (0 , 1) variables. We now deﬁne X i = Z i if  Z i  > 1 = 0 if  Z i  ≤ 1 . Consider now the random variable T n T n = n X i =1 X i . Approximately calculate P ( T n > 10) when n = 50. (20) 5. A couple have agreed on having children until they have at least 2 boys and at least 2 girls. Assume that childbirths are mutually independent and that at each birth, a male or a female child are equally likely. What is the most likely number of children this couple will have?...
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 Spring '09
 Sets, Probability theory, Randomness, Poisson random variables, occupy consecutive positions

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