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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:
    Correct answer is '0'. Can you explain this answer?
    Most Upvoted Answer
    Let X be a Gaussian random variable mean 0 and variance σ2. Let ...
    Given,
    'X' is Gaussian random variable,
    = X ∼ N(0, σ2) for − ∞ < x < ∞
     
    Since median is positional average.
    Therefore, median of Y is '0'.
    Hence, the correct answer is 0.
    Free Test
    Community Answer
    Let X be a Gaussian random variable mean 0 and variance σ2. Let ...
    1. The probability density function (PDF) of a Gaussian random variable with mean 0 and variance 1 is given by:

    f(x) = (1/sqrt(2*pi))*exp(-x^2/2)

    2. The cumulative distribution function (CDF) of the Gaussian random variable can be defined as:

    F(x) = ∫[−∞, x] f(t) dt

    3. The mean (or expected value) of a Gaussian random variable with mean 0 and variance 1 is 0.

    4. The variance of a Gaussian random variable with mean 0 and variance 1 is 1.

    5. The standard deviation of a Gaussian random variable with mean 0 and variance 1 is also 1.

    6. The moment generating function (MGF) of a Gaussian random variable with mean 0 and variance 1 is:

    M(t) = exp(t^2/2)

    7. The characteristic function of a Gaussian random variable with mean 0 and variance 1 is:

    φ(t) = exp(-t^2/2)
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    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:Correct answer is '0'. Can you explain this answer?
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    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:Correct answer is '0'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about 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:Correct answer is '0'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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:Correct answer is '0'. Can you explain this answer?.
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