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After measuring the duration of many telephone calls, the telephone company found their data was well-approximated by the density functionp(x) =0.6e 0.6x , wherexis the

After measuring the duration of many telephone calls, the telephone company found their data was well-approximated by the density functionp(x) =0.6e0.6x, wherexis the duration of a call, in minutes.

(a) What percentage of calls last between4and5minutes?

% (nearest tenth)

(b) What percentage of calls last4minutes or less?

% (nearest tenth)

(c) What percentage of calls last4minutes or more?

% (nearest tenth)

(d) Express the cumulative distribution function in the formP(x) =

x< 0
x2

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