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Math Help - Probability question

  1. #1
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    Probability question

    Can someone give me a hint on how to calculate P(|Z|∈[3/2 ; 5/2])?

    Probability question-problem.png

    Y(t)=tZ^2; t=4
    Z~U(-2;2)
    U - continuous uniform distribution.

    Probability question-dunif.png
    Probability question-prob.png

    Sorry for the images but I am new here and I thought it would be faster. Do you have any tutorials how to post maths symbols?
    Last edited by Zanzibar; August 23rd 2014 at 02:29 AM.
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  2. #2
    MHF Contributor

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    Re: Probability question

    So the problem is to find P(|Z|\in [3/2, 5/2])? That has nothing to do with y.

    Z is the uniform distribution from -2 to 2 so have value Z(z)= 1/4 for all z for all z between -2 and 2. |Z|\in [3/2, 5/3] is the same as Z\in [-2, -3/2]\cup [3/2, 2]. Those two intervals are disjoint so that is P(Z\in [-2, -3/2]+ P(Z\in [3/2, 2]). And each of those is just 1/4 times the length of the interval.

    There is a tutorial on "Latex" at Beginning LaTeX.

    On this board start each latex code with [ tex ] and end with [ /tex ] (without the spaces)- or just press the \Sigma key in the menu above.
    Last edited by HallsofIvy; August 23rd 2014 at 06:09 AM.
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