hw12 - STAT 418 HW12 Solutions Sections 6.2-6.5 15 20 21 23 27 28 32 33 TE 9 15 a Let A denote the area of region R then A = dydx Because f(x y is a

hw12 - STAT 418 HW12 Solutions Sections 6.2-6.5 15 20 21 23...

This preview shows page 1 - 3 out of 5 pages.

STAT 418 HW12 Solutions Sections 6.2-6.5 15, 20, 21, 23, 27, 28, 32, 33; TE 9 15.a. LetAdenote the area of regionR, thenA=R R(x,y)Rdydx.Becausef(x, y) is a joint pdf,1 =Z Z(x,y)Rf(x, y)dydx=Z Z(x,y)Rcdydx=cZ Z(x,y)Rdydx=cA.Thereforec= 1/A.b.f(x, y) =14, x(-1,1), y(-1,1) 1
Image of page 1
21.a.f(x, y)0 for allx, y.
Image of page 2
Image of page 3

You've reached the end of your free preview.

Want to read all 5 pages?

  • Spring '08
  • G.JOGESHBABU
  • Derivative, Trigraph, Limit of a function, joint PDF, dy, X&Y

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture