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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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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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