A blockchain-based business received consensus validation via two different systems A and B. The time between validations for each validation system in a typical day is known to be exponentially distributed with a mean of 3.2 seconds. Both systems operate independently. Given the above distribution, the probability that no validation will be received from system A in a 5-second period is (expressed your answer in 4 decimal places). Likewise, the probability that no validation will be received from both systems in a 5- second period is (expressed your answer in 4 decimal places).
A blockchain-based business received consensus validation via two different systems A and B. The time between validations for each validation system in a typical day is known to be exponentially distributed with a mean of 3.2 seconds. Both systems operate independently. Given the above distribution, the probability that no validation will be received from system A in a 5-second period is (expressed your answer in 4 decimal places). Likewise, the probability that no validation will be received from both systems in a 5- second period is (expressed your answer in 4 decimal places).
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:A blockchain-based business received consensus validation via two different systems A
and B. The time between validations for each validation system in a typical day is known
to be exponentially distributed with a mean of 3.2 seconds. Both systems operate
independently.
Given the above distribution, the probability that no validation will be received from
system A in a 5-second period is
(expressed your answer in 4
decimal places).
Likewise, the probability that no validation will be received from both systems in a 5-
second period is
(expressed your answer in 4 decimal places).
Transcribed Image Text:If X denotes the number of validations in a 5-second interval. Then, X is a Poisson
random variable with the lambda is equal to
(expressed your answer
in 4 decimal places).
Then, the probability that both systems receive two validations between 10 and 15
seconds after the site is officially open for business is
(expressed in 4
decimal places).
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