Help with Probably Density Function Question

[student93]

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.

 

[SteamKing]

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?

 

[student93]

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?

 

[ehild]

The probability density function is given graphically. How do you get graphically the probability from the probability density function ?

ehild

 

[HallsofIvy]

Do you not know how to find the function that has a straight line as its graph?

 

[LCKurtz]

I second ehild's hint. You don't even need the equations.

 

[jbunniii]

oops, never mind, misread