After measuring the duration of many telephone calls the


Question: After measuring the duration of many telephone calls, the telephone company found their data was well approximated by the density function p(x) = 0.4e-0.4x, where x is the duration of a call, in minutes.

(a) What percentage of calls last between 1 and 2 minutes?

(b) What percentage of calls last 1 minute or less?

(c) What percentage of calls last 3 minutes or more?

(d) Find the cumulative distribution function.

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Mathematics: After measuring the duration of many telephone calls the
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