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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الاثنین ۲ ۲ مارس
L3 to L6 Problems.pdf
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1 من 2
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:
oonti
Tendom voriable
7 heg rong o ogu
to tho ontiro rool 1ine
Transcribed Image Text:الاثنین ۲ ۲ مارس L3 to L6 Problems.pdf than w g if and only if the heaviest weighs less that w g). 1 من 2 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: oonti Tendom voriable 7 heg rong o ogu to tho ontiro rool 1ine
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