The distribution of function of random variable

  • Thread starter ecesiu
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  • #1
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Main Question or Discussion Point

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
 

Answers and Replies

  • #2
chiro
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Hey ecesiu and welcome to the forums.

You missed out giving us any of the information.
 
  • #3
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which information you mean?
 
  • #4
chiro
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Like the solution the book gave, the distribution definition, all the other relevant information: stuff like that.
 
  • #5
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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
 
  • #6
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p=q=0.5 because the coin is fair
where p is the probability of getting head , q is the probability of getting tail
 
  • #7
chiro
Science Advisor
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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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