Suppose a system consists of 12 components connected in series, which must all operational for the...

Suppose a system consists of 12 components connected in series, which must all operational for the system to work. If there 5 components of one type with a mean lifetime of 3 years. 7 of the components of a different type and have a mean lifetime of 2 years. Assume the lifetimes are exponentially distributed. Let X be the first time the system stops working.

(a) Find the probability that X is less than 1 and describe in words what this event means.

(b) Find the CDF for X.

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Expert Solution

orchestra answered 1 year ago

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