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Thread: Two questions...

  1. #1
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    Two questions...

    Hi,
    I have the following two questions that I wasn't able to figure out as I am new to probability

    1) If X has the density f, what would be the density of +squareroot(X)?

    (In this case do we have to do some integrals? I don't have a clue and the book I have doesn't explain much.)

    2) If X has density f, find the density of
    (i) aX+b (a and b are constants)
    (ii) X^2

    I will be really glad if you could give me some thoughts. As I said I am really new to this topic.
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  2. #2
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    Quote Originally Posted by kaka87 View Post
    Hi,
    I have the following two questions that I wasn't able to figure out as I am new to probability

    1) If X has the density f, what would be the density of +squareroot(X)?

    (In this case do we have to do some integrals? I don't have a clue and the book I have doesn't explain much.)

    2) If X has density f, find the density of
    (i) aX+b (a and b are constants)
    (ii) X^2

    I will be really glad if you could give me some thoughts. As I said I am really new to this topic.
    The ideas you need for one type of approach are in this thread: http://www.mathhelpforum.com/math-he...tml#post119542

    Please have a read, make another attempt on your questions and say where you get stuck if you still need help. For (1) I get that the pdf is $\displaystyle 2y f(y)$ .... (You will also find another type approach used by matheagle in several posts in this forum).
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