For uniform (0, 1) random variables U, U2, ... define N = Minimum That is, N is equal to the number o

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For uniform (0, 1) random variables U, U2, ... define N = Minimum <m: {": 3031) Σ U> That is, N is equal to the number of random numbers that must be summed to exceed 1. (a) Estimate E[M] by generating 100 values of N. (b) Estimate E[N] by generating 1000 values of N. (c) Estimate E[N] by generating 10,000 values of N. (d) What do you think is the value of E[N]2