# Transformation of variables...Need help pls!

#### hmm...chocolate..

##### New Member
Please could someone tell me if i have the right answer and correct it if need be

Q: Suppose X is uniformally distributed on [0,pi), and a new variable Y is defined as Y=sinX. What is the CDF of Y?

I have:

cdf of y = 0 if arcsin<= 0
arcsiny if 0 < arcsiny <= pi
1 if arcsinyy >= pi

any input would be apprectaited!
thanks

E

#### elnaz

##### Guest
Hello
Best regards
Elnaz

Last edited by a moderator:

#### hmm...chocolate..

##### New Member
thanks very much!

E

#### elnaz

##### Guest
hello
excuse me if i did not send email to you because when i reviewed your post , i saw your answer is true but have a problem , you must attend to
equal sign .

cdf of y = 0 if arcsin< 0
arcsiny if 0 =< arcsiny < pi
1 if arcsinyy => pi
i am very very sorry that the first i didnt read your post correctly so i understand wrong your intent .
your answer was true but have a little problem that i correct it above

Best regards
Elnaz

#### hmm...chocolate..

##### New Member
thanks for all the help. im very grateful