Question

# Compute the reliability of a system with 7 components, neading with at least 2 in full...

Compute the reliability of a system with 7 components, neading with at least 2 in full operation with the MTTF of each component being 2100 hours, after 2510 hours of operation

mean = 2100

X = lifetime of a system

X follow exponential distribution with mean = 2100

P(X > 2510) = e^(-2510/2100)= 0.30263

Y = number of component in full operation

Y follow binomial distribution with n = 7 , p = 0.30263

P(Y >= 2 )

=binom.dist.range(7, 0.30263,2,7)

= 0.672612

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