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MATH 3410 - Exam 2 - Transformations

Zachary Ricky 6 Fragen

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  1. 1Consider the transformation Y= 1/X, and the density function f(x) = 3x^2 for 0<x<1 and is zero for all other values of x. Determine the density function of Y.
    1. A1/y^4
    2. B3/y^4
    3. C3/y
  2. 2Consider the transformation Y= 1/X, and the density function f(x) = 3x^2 for 0<x<1 and is zero for all other values of x. Determine the values of y for which the density function of Y is non-zero.
    1. A0 < y
    2. By > 1
    3. C0 < y < 1
  3. 3Let X have an exponential distribution with mean of 1. Consider the transformation Y = exp(-X), and determine the density function of Y.
    1. Ay
    2. B1/y
    3. C1
  4. 4Let X have an exponential distribution with mean of 1. Consider the transformation Y = exp(-X), and determine the values of y for which the density function of Y is non-zero.
    1. A0 < y < 1
    2. B0 < y
    3. Cy < 1
  5. 5Consider the random variable X with density function:

    f(x) = (3/2)x^2 for -1 < x < 1

    (and zero for all other values of X). Determine the density function of the transformed random variable Y = X^2.

    1. Ay^(1/2)
    2. B3y/2
    3. C(3/2)*y^(1/2)
  6. 6Consider the random variable X with density function:

    f(x) = (3/2)x^2 for -1 < x < 1

    (and zero for all other values of X). Determine the density function of the transformed random variable Y = X^2.
    1. Ay > 1
    2. By > -1
    3. C0 < y < 1

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College MATH 3410 Quiz am MATH 3410 - Exam 2 - Transformations, erstellt von Zachary Ricky am 10/03/2022.
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