U1 u2 are independent identically distributed uniform


U1, U2,... are independent identically distributed uniform random variables with parameters 0 and 1.

(a) Let Xi = - ln Ui. What is P[Xi > x]?

(b) What kind of random variable is Xi?

(c) Given a constant t > 0, let N denote the value of n, such that

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Basic Statistics: U1 u2 are independent identically distributed uniform
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