Statistics Solutions

[Solution Library] Suppose that the random variables Y 1 and Y 2 have joint probability density function, f(y 1 , y 2), given by f(y 1 , y 2)= 6y 1 2 y 2 ,

Question: Suppose that the random variables Y 1 and Y 2 have joint probability density function, f(y 1 , y 2 ), given by

f(y 1 , y 2 )= 6y 1 2 y 2 , 0 ≤ y 1 ≤y 2 , y 1 + y 2 ≤ 2,

0, elsewhere

  1. Find the marginal density of Y 1 .
  2. Find the marginal density of Y 2 .
  3. Derive the conditional density of Y 2 given Y 1 = y 1 .
  4. Find P(Y 2 < 1.1 l Y 1 = .60).

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Solution: The downloadable solution consists of 2 pages
Deliverable: Word Document


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