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Reconsider Prob 20 3 1 Suppose now that you want to convert

Reconsider Prob. 20.3-1. Suppose now that you want to convert these random integer numbers to (approximate) uniform random numbers. For each of the three parts, give a formula for this conversion that makes the approximation as close as possible.

(a) A sequence of 10 one-digit random integer numbers such that xn + 1 ≡ (xn + 3) (modulo 10) and x0 = 2

(b) A sequence of eight random integer numbers between 0 and 7 such that xn + 1 ≡ (5xn + 1) (modulo 8) and x0 = 1

(c) A sequence of five two-digit random integer numbers such that xn + 1 ≡ (61xn + 27) (modulo 100) and x0 = 10

(a) A sequence of 10 one-digit random integer numbers such that xn + 1 ≡ (xn + 3) (modulo 10) and x0 = 2

(b) A sequence of eight random integer numbers between 0 and 7 such that xn + 1 ≡ (5xn + 1) (modulo 8) and x0 = 1

(c) A sequence of five two-digit random integer numbers such that xn + 1 ≡ (61xn + 27) (modulo 100) and x0 = 10

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