Is the following function a valid probability density function? 3x² – if - 1

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.2: Probability
Problem 3E: The conditional probability of E given that F occurs is P(EF)=___________. So in rolling a die the...
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Is the following function a valid probability density function?
3x² – if - 1<x< 1,
f(x) =
otherwise.
Check all answers that apply.
Select all that apply:
O Yes, it satisfies all the conditions of a probability density function.
0 No, the integral over all x is not 1.
O No, the function is negative in some places.
Transcribed Image Text:Is the following function a valid probability density function? 3x² – if - 1<x< 1, f(x) = otherwise. Check all answers that apply. Select all that apply: O Yes, it satisfies all the conditions of a probability density function. 0 No, the integral over all x is not 1. O No, the function is negative in some places.
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