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Suppose X is a continuous random variable having probability density function (PDF) f(x). Which of these statements about f(x) are true? 1) f(x) cannot be negative II) Probabilities for X are areas underneath f(x) III) f(x) must integrate to one over the whole range of possible values for X IV) f(x) cannot be a polynomial OnLond

Suppose X is a continuous random variable having probability density function (PDF) f(x). Which of these statements about f(x) are true? 1) f(x) cannot be negative II) Probabilities for X are areas underneath f(x) III) f(x) must integrate to one over the whole range of possible values for X IV) f(x) cannot be a polynomial OnLond

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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Suppose X is a continuous random variable having probability density function (PDF) f(x). Which of these statements about f(x) are true? 1) f(x) cannot be negative II) Probabilities for X are areas underneath f(x) III) f(x) must integrate to one over the whole range of possible values for X IV) f(x) cannot be a polynomial O a)I and Il only are true O b) Il and IIl only are true O c) Il and IV only are true O d) I, Il and III only are true.
Transcribed Image Text:Suppose X is a continuous random variable having probability density function (PDF) f(x). Which of these statements about f(x) are true? 1) f(x) cannot be negative II) Probabilities for X are areas underneath f(x) III) f(x) must integrate to one over the whole range of possible values for X IV) f(x) cannot be a polynomial O a)I and Il only are true O b) Il and IIl only are true O c) Il and IV only are true O d) I, Il and III only are true.
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