Understanding Joint Density Functions: Solving for Unknown Parameters

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wuid
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it seems that i can't understand the boundaries...
the joint density function:

f(u,v)= a , u^2 <= v <= 1
0 , else

find a

i just don't know how to start.
any help ?
thx
 
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welcome to pf!

hi wuid! welcome to pf! :smile:

(try using the X2 button just above the Reply box :wink:)

let's see :rolleyes: … that's a shelf of height a whose shape is a rectangle with a parabola cut out of it …

ok, you need it to have total probability of 1 :smile:
 
hi !
thx for the quick reply ,

let's see if i got u ,

\int^{1}_{-1}\int^{1}_{u^{2}}advdu=1

so a=\frac{3}{4}

is that right ?
 
looks good! :smile:
 
can you please guide me with two more section in this problem ,
related to marginal functions & covariance ?

and i'll leave you for good :)

i
 
i'm not much good at statistics :redface:

can you start a new thread? :smile:
 
o.k i'll start a new one later.

first i'll try harder... :)
 
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