Post Utme Pan Atlantic University 2019 Mathematics Question 11

Practice objective / multiple choice question 11 from the 2019 Post Utme Pan Atlantic University Mathematics examination.

Post Utme Pan Atlantic University 2019 Mathematics Objective / Multiple Choice
Question 11 POST_UTME_PAN-ATLANTIC_UNIVERSITY • 2019 • MATHEMATICS • objective

Let ( X ) and ( Y ) be independent random variables with probability density functions \(f_X x \\) = egin{cases} 2x, & \(0 < x\)\(< 1\)\ 0, & \text{otherwise} \end{cases} ) and \(f_Y y \\) = egin{cases} \(3y^2\), & \(0 < y\)\(< 1\)\ 0, & text{otherwise} \end{cases} ). Find the probability that \(X + Y < 1\\(text{otherwise} end{cases} ). Find the probability that\).

Answer Options

Correct Answer A. \(\frac{1}{2}\)\)
B. \(\frac{1}{3}\)\)
C. \(\frac{2}{3}\)\)
D. \(\frac{3}{4}\)\)
Correct Answer
A
Correct Option:
\(\frac{1}{2}\)\)

About This Question

This is Post Utme Pan Atlantic University 2019 Mathematics Question 11. It is one of the objective questions from the 2019 Post Utme Pan Atlantic University Mathematics examination.

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