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2. Suppose X is a continuous random variable with 0 sXS 2. Which, if any, of the following functions are valid PDFS for X? I) f(x) = x2/2 + 1/4 %3! II) f(x) x³14 %3D II) f(x) = 1/2 IV) f(x) = 3x/4 - 1/4 O a)I and IV only are valid O b) Il and III only are valid O c) Il and IV only are valid O d) III only is valid.

2. Suppose X is a continuous random variable with 0 sXS 2. Which, if any, of the following functions are valid PDFS for X? I) f(x) = x2/2 + 1/4 %3! II) f(x) x³14 %3D II) f(x) = 1/2 IV) f(x) = 3x/4 - 1/4 O a)I and IV only are valid O b) Il and III only are valid O c) Il and IV only are valid O d) III only is valid.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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2. Suppose X is a continuous random variable with 0sX<2. Which, if any, of the following functions are valid PDFS for X? 1) f(x) x212 + 1/4 %3D II) f(x) x³14 %3D III) f(x) = 1/2 IV) f(x) = 3x/4 - 1/4 O a)I and IV only are valid O b) Il and III only are valid O c) Il and IV only are valid O d) III only is valid.
Transcribed Image Text:2. Suppose X is a continuous random variable with 0sX<2. Which, if any, of the following functions are valid PDFS for X? 1) f(x) x212 + 1/4 %3D II) f(x) x³14 %3D III) f(x) = 1/2 IV) f(x) = 3x/4 - 1/4 O a)I and IV only are valid O b) Il and III only are valid O c) Il and IV only are valid O d) III only is valid.
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