Q11Comprehension2 Marks23 Feb 2025PassageBased on the above data, answer the given subquestions. The PDF of a random variable XXX is given as fX(x)=ae−3xf_X(x)=ae^{-3x}fX(x)=ae−3x, x≥0x\ge0x≥0, and 000 otherwise.What is the CDF of XXX?AFX(x)=e−3x, x≥0; 0 otherwiseF_X(x)=e^{-3x},\ x\ge0;\ 0\ \text{otherwise}FX(x)=e−3x, x≥0; 0 otherwiseBFX(x)=1−e−3x, x≥0; 0 otherwiseF_X(x)=1-e^{-3x},\ x\ge0;\ 0\ \text{otherwise}FX(x)=1−e−3x, x≥0; 0 otherwiseCFX(x)=e3x, x≥0; 0 otherwiseF_X(x)=e^{3x},\ x\ge0;\ 0\ \text{otherwise}FX(x)=e3x, x≥0; 0 otherwiseDFX(x)=1−e3x, x≥0; 0 otherwiseF_X(x)=1-e^{3x},\ x\ge0;\ 0\ \text{otherwise}FX(x)=1−e3x, x≥0; 0 otherwise
