Let Xj, i = 1,2,... be i.i.d. continuous random variables that are uniformly distributed between [0,1]. Assuming x2 a) Provide a bound on PREX;>x using Chebyshev and Markov inequalities. b) Use the...


Let Xj, i = 1,2,... be i.i.d. continuous random variables that are uniformly distributed between [0,1].<br>Assuming x2<br>a) Provide a bound on<br>PREX;>x<br>using Chebyshev and Markov inequalities.<br>b) Use the central limit theorem approximation to provide an approximation (in terms of the o<br>function) for the expression in (a). In other words, provide an expression for<br>Pr EX;>x<br>i=1<br>using the central limit theorem.<br>c) Compute (a) and (b) for n = 50, and x = 80 and comment on your answers.<br>

Extracted text: Let Xj, i = 1,2,... be i.i.d. continuous random variables that are uniformly distributed between [0,1]. Assuming x2 a) Provide a bound on PREX;>x using Chebyshev and Markov inequalities. b) Use the central limit theorem approximation to provide an approximation (in terms of the o function) for the expression in (a). In other words, provide an expression for Pr EX;>x i=1 using the central limit theorem. c) Compute (a) and (b) for n = 50, and x = 80 and comment on your answers.

Jun 09, 2022
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