Let the probability density function of a random variable, \(X\), be given as:\(fx\left( x \right) = \frac{3}{2}{e^{ - 3x}}u\left( x \right) + a{e^{4x}}u\left( { - x} \right)\)Where \(u\left( x \right)\) is the unit step function.Then the value of 'a' and \(Prob\left\{ {X \le 0} \right\}\;\) respectively, are

Let the probability density function of a random variable, \(X\), be g

1.	Let the probability density function of a random variable, \(X\), be given as:\(fx\left( x \right) = \frac{3}{2}{e^{ - 3x}}u\left( x \right) + a{e^{4x}}u\left( { - x} \right)\)Where \(u\left( x \right)\) is the unit step function.Then the value of 'a' and \(Prob\left\{ {X \le 0} \right\}\;\) respectively, are
A.	\(2,\frac{1}{2}\)
B.	\(4,\frac{1}{2}\)
C.	\(2,\frac{1}{4}\)
D.	\(4\;,\frac{1}{4}\)
Answer» B. \(4,\frac{1}{2}\)

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