A program consists of two modules executed sequentially. Let f1(t) and f2(t) respectively denote the probability density functions of time taken to execute the two modules. The probability density function of the overall time taken to execute the program is given by

A program consists of two modules executed sequentially. Let f1(t) and f2(t) respectively denote the probability density functions of time taken to execute the two modules. The probability density function of the overall time taken to execute the program is given by Correct Answer $$\int\limits_0^{\text{t}} {{{\text{f}}_1}\left( {\text{x}} \right){{\text{f}}_2}\left( {{\text{t}} - {\text{x}}} \right){\text{dx}}} $$

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Let N denote the set of all non-negative integers and Z denote the set of all integers. The function f : Z → N given by f(x) = |x| is: