Let the probability density function of a random variable, X, be given as: $${{\text{f}}_{\text{x}}}\left( {\text{x}} \right) = \frac{3}{2}{{\text{e}}^{ - 3{\text{x}}}}{\text{u}}\left( {\text{x}} \right) + {\text{a}}{{\text{e}}^{4{\text{x}}}}{\text{u}}\left( { - {\text{x}}} \right)$$ where u(x) is the unit step function. Then the value of 'a' and Prob{X ≤ 0}, respectively, are
A. 2, $$\frac{1}{2}$$
B. 4, $$\frac{1}{2}$$
C. 2, $$\frac{1}{4}$$
D. 4, $$\frac{1}{4}$$
Answer: Option A
This Question Belongs to Engineering Maths >> Probability And Statistics
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