# Time to failure: binomial distribution

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Q1: Let N be a random variable with a binomial distribution with parameters (n,p). Find E(N) and var(N).

Q2: A component with time to failure T has failure rate function:

z(t)=kt for t>0 and k>0

a) Find the probability that the component survives 200 hours, when k = 2.0 * 10^-6 (hours)^-2.

b) Find the MTTF of the components when k=2.0*10^-6 (hours)^-2.

c) Find the probability that a component which is functioning after 200 hours is still functioning after 400 hours, when k=2.0*10^-6 (hours)^-2.

d) What distribution does this problem belong to?

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This solution goes over time to failure using the binomial distribution.

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