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

GATE Electrical Engineering (EE) 2016 Shift 2 Solved Paper

Question : 43 of 65

Marks: +1, -0

Let the probability density function of a random variable,

X

, be given as:

fx (x) = \;{3}/{2}e^{−3x}u (x) + ae^{4x}u (−x)

Where

u (x)

is the unit step function.
Then the value of 'a' and

Prob \{X ≤ 0\} \:

respectively, are

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