Post Utme Futo 2021 Mathematics Question 31

Practice objective / multiple choice question 31 from the 2021 Post Utme Futo Mathematics examination.

Post Utme Futo 2021 Mathematics Objective / Multiple Choice

Question 31 POST_UTME_FUTO • 2021 • MATHEMATICS • objective

Let ( X ) and ( Y ) be independent random variables with probability density functions \(f_X x \\) = \(frac{1}{2}\)\) ) for \\(frac{1}{2})\(0 < x < 2\) and \(f_Y y \\) = \(\frac{1}{3}\)\) ) for (0 < y < 3\). Find the probability that \(X + Y\\((0 < y < 3). Find the probability that\) is greater than 2.

Answer Options

A. \(P X + Y > 2 \\) = \(\frac{1}{2}\)\) )

B. \(P X + Y > 2 \\) = \(\frac{1}{3}\)\) )

Correct Answer C. \(P X + Y > 2 \\) = \(\frac{5}{6}\)\) )

D. \(P X + Y > 2 \\) = \(\frac{2}{3}\)\) )

Correct Answer

Correct Option:

\(P X + Y > 2 \\) = \(\frac{5}{6}\)\) )

About This Question

This is Post Utme Futo 2021 Mathematics Question 31. It is one of the objective questions from the 2021 Post Utme Futo Mathematics examination.

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