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Show the following items in detail please 1. (a) If X bin (n, p). What is the characteristic function of X? (b) Show the use

Show the following items in detail please

1. (a) If X bin (n, p). What is the characteristic function of X?

(b) Show the use of characteristic functions that if X bin (m, p), Y bin (n, p) and X, Y are independent, then X + Y bin (m + n, p) .

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