Help with Probably Density Function Question

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Homework Help Overview

The discussion revolves around constructing a probability density function (PDF) based on a given graph. Participants are exploring the challenges of deriving the function and understanding its properties in a piecewise manner.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Some participants express difficulty in deriving the PDF from the graph, questioning the process of constructing it in a piecewise fashion. Others seek clarification on methods for obtaining probabilities from the graphical representation of the PDF.

Discussion Status

Participants are actively engaging with the problem, with some offering hints and suggestions for understanding the construction of the PDF. There is a mix of familiarity with the methods discussed, and some participants are seeking further elaboration on specific techniques.

Contextual Notes

There are references to the problem being attached, indicating that visual information is crucial for the discussion. Participants also mention the nature of the PDF being either 0 or straight lines, which may influence their reasoning.

student93
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Homework Statement



Problem is attached in this post

Homework Equations



Problem is attached in this post


The Attempt at a Solution



I can solve the integral since I know P(X) = ∫f(x)dx=1 from a to b, however I can't figure out how to derive the function from the given graph.

Also the answer is D. 3/4.
 

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student93 said:

Homework Statement



Problem is attached in this post

Homework Equations



Problem is attached in this post


The Attempt at a Solution



I can solve the integral since I know P(X) = ∫f(x)dx=1 from a to b, however I can't figure out how to derive the function from the given graph.

Also the answer is D. 3/4.

The PDF is either 0 or straight lines. Why is it so difficult to construct the PDF in a piecewise fashion?
 
I'm not familiar with that method, could you please elaborate and/or post a link that explains how to construct a probability density function via the piecewise method?
 
The probability density function is given graphically. How do you get graphically the probability from the probability density function ?

ehild
 
Do you not know how to find the function that has a straight line as its graph?
 
I second ehild's hint. You don't even need the equations.
 

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