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    Expected Value & Standard Deviation for a Walking Problem

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    Please solve the attached questions to do with expected value and standard deviation in a walking scenario.

    © BrainMass Inc. brainmass.com October 10, 2019, 7:15 am ad1c9bdddf
    https://brainmass.com/statistics/probability/expected-value-standard-deviation-walking-problem-574019

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    019.
    xi = +1: p = 1/2
    xi = -1: p = 1/4
    xi = 0: p = 1/4

    z = sum (i= 1 to N) {xi}

    (a)
    Because, expected value of X, E(X) = sum (i = 1 to n) {pi * Xi}

    Expectation of xi:
    E(xi) = (1/2)*(+1) + (1/4)*(-1) + (1/4)*0 = 0.25

    Hence,
    E(z) = sum (i = 1 to N) {E(xi)} = 0.25*n = n/4 ...

    Solution Summary

    For two given random walk problems, expectation value and standard deviation are estimated.

    $2.19