Post Utme Futo 2021 Mathematics Question 26

Practice objective / multiple choice question 26 from the 2021 Post Utme Futo Mathematics examination.

Post Utme Futo 2021 Mathematics Objective / Multiple Choice
Question 26 POST_UTME_FUTO • 2021 • MATHEMATICS • objective

Let \(X\) and \(Y\) be independent random variables with probability density functions \(f_X(x) = 2x\) and \(f_Y(y) = 3y^2\) for \(0 < x < 1\) and \(0 < y < 1\), respectively. Find the probability that \(X + Y < 1\).

Answer Options

A. \(\frac{1}{3}\)\)
Correct Answer B. \(\frac{2}{3}\)\)
C. \(\frac{3}{4}\)\)
D. \(\frac{4}{5}\)\)
Correct Answer
B
Correct Option:
\(\frac{2}{3}\)\)

About This Question

This is Post Utme Futo 2021 Mathematics Question 26. It is one of the objective questions from the 2021 Post Utme Futo Mathematics examination.

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