A radar telemetry tracking station requires a vast quantity of high-quality magnetic tape. It has been established that the distance X (in meters) between tape-surface flaws has the following...

A radar telemetry tracking station requires a vast quantity of high-quality magnetic tape. It has been established that the distance X (in meters) between tape-surface flaws has the following probability density functions: f(x) = 0.005 e–0.005 x x = 0f(x) = 0 otherwisePlot a graph of f(x) versus x for 0 = x = 800. Find the cumulative probability distribution function,
Suppose one flaw in the tape-surface has been identified. Calculate:the probability that an additional flaw will be found within the next 100 m of tape.the probability that an additional flaw will not be found for at least 200 m.the probability that an additional flaw will be found between 100 and 200 m from the flaw already identified.