a. Sn b. Sn/n c. Sn − n/2 d. (Sn − n/2)/n e. (Sn − n/2)/√n Explain the shapes of the resulting graphs using the concepts of this chapter.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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Generate a sequence U1, U2,..., U1000 of independent uniform random variables on a computer. Let Sn = 
n
i=1 Ui for n = 1, 2,..., 1000. Plot each of
the following versus n:
a. Sn
b. Sn/n
c. Sn − n/2
d. (Sn − n/2)/n
e. (Sn − n/2)/√n
Explain the shapes of the resulting graphs using the concepts of this chapter.

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Follow-up Question

Generate a sequence U1, U2,..., U1000 of independent uniform random variables on a computer. Let Sn = 
n
i=1 Ui for n = 1, 2,..., 1000. Plot each of
the following versus n:

d. (Sn − n/2)/n
e. (Sn − n/2)/√n
Explain the shapes of the resulting graphs using the concepts of this chapter.

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