Question: A component lifetimes are exponentially distributed with mean 8 hours. (1) the probability that a given component survives 16 hours; (2) the median of component

A component lifetimes are exponentially distributed with mean 8 hours.

(1) the probability that a given component survives 16 hours;

(2) the median of component lifetimes;

(3) the standard deviation of component lifetimes;

(4) the probability that the average lifetime of 100 independent components exceeds 7.5 hours;

(5) the probability that a component that has lasted for 16 hours last for at least 24 hours.

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