Post Utme Summit University 2020 Mathematics Question 35

Practice objective / multiple choice question 35 from the 2020 Post Utme Summit University Mathematics examination.

Post Utme Summit University 2020 Mathematics Objective / Multiple Choice
Question 35 POST_UTME_SUMMIT_UNIVERSITY • 2020 • MATHEMATICS • objective

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

Answer Options

Correct Answer A. \(\frac{5}{24}\)
B. \(\frac{1}{6}\)
C. \(\frac{1}{4}\)
D. \(\frac{5}{12}\)
Correct Answer
A
Correct Option:
\(\frac{5}{24}\)

About This Question

This is Post Utme Summit University 2020 Mathematics Question 35. It is one of the objective questions from the 2020 Post Utme Summit University Mathematics examination.

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