Here number of components are n=4, probability that a component will fail is p=0.1
X: Number of failures. Then X~ Binomial(n=4, p=0.1)
The Probability Mass Function of Binomial distribution is
1 ) The probability that none fail within a year is'
2) The probability that at least 1 fails within a year is
3) The probability that all fails within a year is
4) Here we use p=1-0.1=0.9 and X: Number of working components.
The probability that at least 1 works entire year is
upposea components of system all act independently, and each fails within a year 10% of the...
Suppose 4 components of system all act independently, and each fails within a year 10% of the time. Find the probability none fails within a year Find the probability at least one fails within a year Find the probability all fail within a year. Find the probability at least one works the entire year.
8 (10 polints) A ystem conslists of 4 components ln a eries, so the system works properly if all of the for 1- 1,2,3,4 components are functional. In other words, the system fails if and only If at least one of its components als Suppose the probability that the component falils is less than or equal to p Flad n pper bound on the probability that the syetem fails 6. (10 points) A system consists of 4 components in a...
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