The distribution of function of random variable

[ecesiu]

i have this question

i do find the distribution like this figure :

and i plot the y like this:

now i want to find the distribution of y
i tried to take the distribution for each interval in Fx(x) like this :

but the solution in the book said :

who is wrong me or the book please help

 

[chiro]

Hey ecesiu and welcome to the forums.

You missed out giving us any of the information.

 

[ecesiu]

which information you mean?

 

[chiro]

Like the solution the book gave, the distribution definition, all the other relevant information: stuff like that.

 

[ecesiu]

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 :

 

[ecesiu]

p=q=0.5 because the coin is fair
where p is the probability of getting head , q is the probability of getting tail

 

[chiro]

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?