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The distribution of function of random variable

  1. Sep 18, 2012 #1
    i have this question
    image.png
    i do find the distribution like this figure :
    dis.png
    and i plot the y like this:
    g_x.png
    now i want to find the distribution of y
    i tried to take the distribution for each interval in Fx(x) like this :
    image.png
    but the solution in the book said :
    image.png
    who is wrong me or the book please help
     
  2. jcsd
  3. Sep 18, 2012 #2

    chiro

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    Hey ecesiu and welcome to the forums.

    You missed out giving us any of the information.
     
  4. Sep 19, 2012 #3
    which information you mean?
     
  5. Sep 19, 2012 #4

    chiro

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    Like the solution the book gave, the distribution definition, all the other relevant information: stuff like that.
     
  6. Sep 19, 2012 #5
    firest i found the density of x which is Bernoulli trial :
    PK=Cn(10,k) * p^k * q^(10-k) , k= 0,1,...,10
    the distribution is a staircase of the density
    which i sketch , the book solution is here :
    image.png
     
  7. Sep 19, 2012 #6
    p=q=0.5 because the coin is fair
    where p is the probability of getting head , q is the probability of getting tail
     
  8. Sep 19, 2012 #7

    chiro

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    So what are you trying to do? Are you trying to figure out whether you think a coin is fair given a number of tosses for heads and tails?
     
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