3.=The-cumulative-distribution-function-of-a-random-variable-is-defined-by. F(x) (3) - { - 0)* = 0 x 8 x < 8 a) Determine...

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3.=The-cumulative-distribution-function-of-a-random-variable-is-defined-by. F(x) (3) - { - 0)* = 0 x 8 x < 8 a) Determine the mean=value=(u)=and-the-standard-deviation=)=for b) Determine the probabilityP(8.2 d xd 12.1) Clearly show all your steps and calculations, solutions directly from calculator (integrals or derivatives) will be graded as zero. [f(x) Probability Density Function PDF. F(x) Cumulative Distribution Function]. (20-pts.) 3.=The-cumulative-distribution-function-of-a-random-variable-is-defined-by. F(x) (3) - { - 0)* = 0 x 8 x < 8 a) Determine the mean=value=(u)=and-the-standard-deviation=)=for b) Determine the probabilityP(8.2 d xd 12.1) Clearly show all your steps and calculations, solutions directly from calculator (integrals or derivatives) will be graded as zero. [f(x) Probability Density Function PDF. F(x) Cumulative Distribution Function]. (20-pts.)