7 Let X have an exponential distribution with mean of 1. Consider the transformation Y = exp(-X). Determine the density function of Y and the interval for which the density function of Y is non- zero. Select all answers that apply. Note exp(z) = e^z. For the instructor, this was question 26. Choose all that apply. The density function of Y is: 1 The density function of Y is: exp(-y) M The density function of Y is: 1/y. The density function of Y is non-zero when: 0

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.3: Rates Of Change
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Let X have an exponential distribution with mean of 1. Consider the transformation Y = exp(-X). Determine the density function of Y and the interval for which the density function of Y is non-
zero. Select all answers that apply.
7
%3D
Note exp(z) = e^z.
For the instructor, this was question 26.
Choose all that apply.
The density function of Y is: 1
The density function of Y is: exp(-y)
The density function of Y is: 1/y.
The density function of Y is non-zero when: 0<y<1.
The density function of Y is non-zero when: 0<y.
Transcribed Image Text:Let X have an exponential distribution with mean of 1. Consider the transformation Y = exp(-X). Determine the density function of Y and the interval for which the density function of Y is non- zero. Select all answers that apply. 7 %3D Note exp(z) = e^z. For the instructor, this was question 26. Choose all that apply. The density function of Y is: 1 The density function of Y is: exp(-y) The density function of Y is: 1/y. The density function of Y is non-zero when: 0<y<1. The density function of Y is non-zero when: 0<y.
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