Derive the limiting cumulative distribution function of the ref... | Filo
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Find the cumulative distribution function . Calculate the probability that component lasts more than 3000 hours before failure.
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SOLVED:The steps in this exercise lead to the probability density function of an Erlang random variable X with parameters λand r, f(x)=λ^r x^r-1 e^-λx /(r-1) !, x>0, and r=1,2, …(a) Use the Poisson distribution to express P(X>x). (b) Use the result from part (a) to determine the cumulative distribution function of X. (c) Differentiate the cumulative distribution function in part (b) and simplify to obtain the probability density function of X.
SOLVED:The steps in this exercise lead to the probability density fun…
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