Gate2017 cs Q11

0. Let X be a Gaussian random variable mean 0 and variance σ2. Let Y = max(X, 0) where max (a, b) is the maximum of a and b. The median of Y is _____.

  • Option : A
  • Explanation :
    ‘X’ is Gaussian random variable
    ⇒ X ∼ N(0, σ2) for -∞ < x < ∞
    Given

    Since median is positional average
    Therefore, median of Y is '0'.
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