Continuous Probability Distribution Question

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Michael_Light
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Homework Statement



Mathematics 10.jpg



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?
 
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vela said:
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..
 
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.