A hand-held calculator has a clock cycle time of 100 nanoseconds; these are positions numbered 0, 1, ...,99. Assume a flag is set during a particular cycle at a random position. Thus, if X is the position number at which the flag is set. P(X = k) 1 k = 0, 1, 2, ..., 99. 100 Evaluate the average position number E(X), and o, the standard deviation. (Hint: The sum of the first k integers is k(k +1)/2 and the sum of their squares is: k(k +1)(2k +1)/6.)

A hand-held calculator has a clock cycle time of 100 nanoseconds; these are positions numbered 0, 1, ...,99. Assume a flag is set during a particular cycle at a random position. Thus, if X is the position number at which the flag is set. P(X = k) 1 k = 0, 1, 2, ..., 99. 100 Evaluate the average position number E(X), and o, the standard deviation. (Hint: The sum of the first k integers is k(k +1)/2 and the sum of their squares is: k(k +1)(2k +1)/6.)

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MATLAB: An Introduction with Applications

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Author:Amos Gilat

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