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Based on an analysis of sample data, an article proposed the pdf f(x) = 0.65e−0.65(x −...

Based on an analysis of sample data, an article proposed the pdf

f(x) = 0.65e−0.65(x − 1)

when

x ≥ 1

as a model for the distribution of

X = time (sec)

spent at the median line. (Round your answers to three decimal places.)

(a) What is the probability that waiting time is at most 3 sec? More than 3 sec?

at most 3 sec      P(X ≤ 3) =
more than 3 sec      P(X > 3) =



(b) What is the probability that waiting time is between 3 and 6 sec?

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