Let Y₁ and Y₂ have the joint density function f(V₁, V₂) = { -(Y₁ + y₂), Y₁ >0, y₂ > 0, 0, elsewhere. (a) What is P(Y₁ < 2, Y₂ > 8)? (Round your answer to four decimal places.) 2 (b) What is P(Y₁ + Y₂ < 7)? (Round your answer to four decimal places.)

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Let Y₁ and Y₂2 have the joint density function
f(y₁, y₂) =
√e-(₁ + y₂), Y₁₁ >0, y₂ > 0,
elsewhere.
0₁
(a) What is P(Y₁ < 2, Y₂> 8)? (Round your answer to four decimal places.)
1
2
(b) What is P(₁ + Y₂ < 7)? (Round your answer to four decimal places.)
Transcribed Image Text:Let Y₁ and Y₂2 have the joint density function f(y₁, y₂) = √e-(₁ + y₂), Y₁₁ >0, y₂ > 0, elsewhere. 0₁ (a) What is P(Y₁ < 2, Y₂> 8)? (Round your answer to four decimal places.) 1 2 (b) What is P(₁ + Y₂ < 7)? (Round your answer to four decimal places.)
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