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Mathematics, 02.03.2020 18:22 giovney
A k out of n system is one in which there is a group of n components, and the system will function if at least k of the components function. Assume the components function independently of one another.
1). In 3 out 5 system, each component has probability 0.9 of functioning. What is the probability that the system will function?
2). Based on the information given in 1), what is the expected number of components that function.
3). In a 3 out n system, in which each component has probability 0.9 of functioning, what is the smallest values of n needed so that the probability that the system functions is at least 0.90?
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