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


where u(x) is the unit step function.

Then the value of 'a' and prob $\left\{X \leq 0\right\}$, respectively are 

  1. $2, \frac{1}{2}$
  2. $4, \frac{1}{2}$
  3. $2, \frac{1}{4}$
  4. $4, \frac{1}{4}$
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