2. Fill in the blanks Let U1, U2, ... be a sequence of independent random variables uniformly distributed on the unit in

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2 Fill In The Blanks Let U1 U2 Be A Sequence Of Independent Random Variables Uniformly Distributed On The Unit In 1 (271.05 KiB) Viewed 101 times

2. Fill in the blanks Let U1, U2, ... be a sequence of independent random variables uniformly distributed on the unit interval [0, 1]. For any x € (0, 2), let the random variable N(x) denote the number of the Uí's that need to be summed up to exceed the value x: 1 n N(2) = nin{ ne Z20 : U;>x} i=1 = 1.2.72 (2 decimal places) E[N(1)]= E[N(1.5)] = E[N(2)] = 2. 3.66 (2 decimal places) 3. 4.67 (2 decimal places)