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Suppose 100 random numbers are independently generated from a uniform distribution on interval (0,1). Let Nk denote the number of the random variates falling in the interval (%, g) for k = 1, 2, 3, 4, 5. Denote the vector N = (N1, N2, N3, N4, N5 )'.
a. What is the probability distribution of N?
b. What is the expected value vector E[N]?
c. Display the 5-by-5 covariance matrix of N as a matrix in R Markdown using Latex syntax.
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