Let X- Unif[-4, 4], and Y = (X + 1)². (a) Find fy(2) and fy(16), where fy(•) is the probability density function of Y. Separate your answers with a comma.

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.
Chapter4: Calculating The Derivative
Section4.4: Derivatives Of Exponential Functions
Problem 23E: Find derivatives of the functions defined as follows. fz=2z+e-z22
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Problem #1: Let X~ Unif[−4, 4], and Y =
(X + 1)².
(a) Find ƒy(²) and fy(16), where fy(•) is the probability density function of Y.
Separate your answers with a comma.
(b) Find P{Y < 16}.
Transcribed Image Text:Problem #1: Let X~ Unif[−4, 4], and Y = (X + 1)². (a) Find ƒy(²) and fy(16), where fy(•) is the probability density function of Y. Separate your answers with a comma. (b) Find P{Y < 16}.
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