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.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Question 2:
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.
1
P(X = k) = 100
k = 0, 1, 2, ., 99.
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.)
Question 3:
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