Math Is Fun Forum

basketboy

Member

Registered: 2011-10-11

Posts: 14

solve

f{x,y}={4xy, 0<x<1,0<y<1

find

a.   p{0<x<1/2 and 1/4<y<1/2

b.   p{x<y}

Bob

Administrator

Registered: 2010-06-20

Posts: 10,583

Re: solve

hi basketboy,

Now this question makes sense.  I think for the second one you need to check the wording.  Did you write it down correctly?

ALSO  I've changed my answer to Q1 now I have the correct wording for that.  The 30 does make a difference!

Q3.

See graphs below.

f(x,y) is a probability density function.  The total value of the function over this space should be one.  Let's start by checking that it is.

So that's alright!

Now for the first part you want

Can you finish this?

And for the second part

(I think that's right.  I haven't done double integrals for years!)

Bob

Last edited by Bob (2011-10-12 04:42:00)

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Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob