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Probability Gate EE 2016

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Let the probability function of a random variable,X,be given as:

             fx (x) =$\frac{3}{2}$e-3xu(x)+ae4x u(-x)

where u(x) is the unit step function.Then the value of 'a' and Probability{x<=0},respectively,are

a) 2, $\frac{1}{2}$   b) 4, $\frac{1}{2}$

c)2, $\frac{1}{4}$    d)2, $\frac{1}{4}$

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