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Generate 100,000 Unif(0,1) pseudo-random numbers from the “desert island” 16807 generator. How many runs up and down did you

generator: X; = 16807X;- mod(231-1)

math   Statistics-And-Probability   
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Answer #1

Set a seed for X0 = X0 = 12345678 and use the python code shown in bold below where '%' stands for modulus operator and '**' represents ^ operator:

X0= 12345678

X1 = (16807 * X0) % ((2**31 )- 1)

print(X)

The result of this python code is X1 = 1335380034.

Final Answer:

Number of runs up = X1 = 1335380034

Number of runs down = X0 = 12345678

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