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MATH 3410 - Exam 2 - Transformations
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Questions in this quiz (6)
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.
- A1/y^4
- B3/y^4
- C3/y
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.
- A0 < y
- By > 1
- C0 < y < 1
3Let X have an exponential distribution with mean of 1. Consider the transformation Y = exp(-X), and determine the density function of Y.
- Ay
- B1/y
- C1
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.
- A0 < y < 1
- B0 < y
- Cy < 1
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.
- Ay^(1/2)
- B3y/2
- C(3/2)*y^(1/2)
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.- Ay > 1
- By > -1
- C0 < y < 1
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- College MATH 3410 Quiz on MATH 3410 - Exam 2 - Transformations, created by Zachary Ricky on 10/03/2022.
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- Zachary Ricky
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