2. Let X and Y be two jointly continuous random variables with joint PDF fxy(x,y) = x + cx² 0≤x≤ 1,0 ≤ y ≤ 1, otherwise 0 a. Find the constant c. b. Find P(0 ≤ x ≤ 1/2, 0 ≤ Y≤ 1/2)

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
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2. Let X and Y be two jointly continuous random variables with joint
PDF
fxy(x,y) = x + cx² 0≤x≤ 1,0 ≤ y ≤ 1,
otherwise 0
a. Find the constant c.
b. Find P(0 ≤ x ≤ 1/2, 0 ≤ Y≤ 1/2)
Transcribed Image Text:2. Let X and Y be two jointly continuous random variables with joint PDF fxy(x,y) = x + cx² 0≤x≤ 1,0 ≤ y ≤ 1, otherwise 0 a. Find the constant c. b. Find P(0 ≤ x ≤ 1/2, 0 ≤ Y≤ 1/2)
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