Continuous Probability Distribution Question

[Michael_Light]

Homework Statement

Homework Equations

The Attempt at a Solution

I can show the second one, i.e. 1/3 [sqrt(y) +1] and need help in showing the first one. Can anyone guide me?

 

[vela]

For what values of X is Y ≤ y when 0<y<1?

 

[Michael_Light]

For what values of X is Y ≤ y when 0<y<1?

Do you mind to elaborate more? I couldn't get what you mean..

 

[vela]

Every value X takes on corresponds to some value of Y, so a range of values for Y corresponds to some set of values for X. If you know that 0≤Y≤y where y≤1, what do you know about the possible values of X?

It may help you to look at a plot of Y vs. X.