For the random walk shown in Figure 5.6. (a) What is the expected movement during each period?

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For the random walk shown in Figure 5.6.

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(a) What is the expected movement during each period?

(b) What is the standard deviation of the movement during each period?

(c) What is the expected movement over \(n\) time periods

\[E\left[X\left(t_{i+n}ight)-X\left(t_{i}ight)ight]\]

(d) What is the standard deviation of the movement over \(n\) time periods

\[\sqrt{\operatorname{Var}\left(X\left(t_{i+n}ight)-X\left(t_{i}ight)ight)}\]

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