(a) Find F(1/2, 1/3) = P(Y₁ ≤ 1/2, Y₂ ≤ 1/3) (b) Find the marginal density function for Y₂. (Find f2(y2)) (c) Find the conditional density function f(y1 y2)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 3CR
icon
Related questions
Question
100%
Let Y₁ and Y₂ be two continuous random variables with joint density function
0≤Y2 <Y₁ ≤1
elsewhere.
f(y₁, y2) =
[3y1,
0,
(a) Find F(1/2, 1/3) = P(Y₁ ≤ 1/2, Y₂ ≤ 1/3)
(b) Find the marginal density function for Y₂. (Find f2(y2))
(c) Find the conditional density function f(y1|y2)
Transcribed Image Text:Let Y₁ and Y₂ be two continuous random variables with joint density function 0≤Y2 <Y₁ ≤1 elsewhere. f(y₁, y2) = [3y1, 0, (a) Find F(1/2, 1/3) = P(Y₁ ≤ 1/2, Y₂ ≤ 1/3) (b) Find the marginal density function for Y₂. (Find f2(y2)) (c) Find the conditional density function f(y1|y2)
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage