(1 point) Suppose that, after measuring the duration of many telephone calls, a

Question

(1 point) Suppose that, after measuring the duration of many telephone calls, a telephone company found their data was well- approximated by an exponential distribution with parameter = 0.7·(That is, the duration of a call is an exponential random variable with parameter = 0.7.) (a) What percentage of calls last between 3 and 4 minutes? Percent = percent (b) What percentage of calls last 3 minutes or less? Percent- percent (c) What percentage of calls last 5 minutes or more? Percent- percent (d) What is the cumulative distribution function, F(t)? F(t) =

Explanation / Answer

a)P(3<X<4) =e-0.7*3-e-0.7*4 =6.16%

b) P(X<3) =1-e-0.7*3 =87.75%

c) P(X>5) =e-0.7*5 =3.02%

d)F(t) =1-e-0.7t

( please revert for any clarification_

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