Post Utme Uniport 2024 Mathematics Question 31

Practice objective / multiple choice question 31 from the 2024 Post Utme Uniport Mathematics examination.

Post Utme Uniport 2024 Mathematics Objective / Multiple Choice
Question 31 POST_UTME_UNIPORT • 2024 • MATHEMATICS • objective

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

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 Uniport 2024 Mathematics Question 31. It is one of the objective questions from the 2024 Post Utme Uniport Mathematics examination.

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