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Competitive Stats
Q26Section I (Objective (Q1–Q80))26 of 80

Probability — marginal density from a bivariate triangular density

The random variables X and Y have the joint distribution given by the p.d.f.

f(x,y)={6(1−x−y),x>0,y>0,x+y<1 0,otherwisef(x, y) = \begin{cases} 6(1-x-y), & x>0, y>0, x+y<1 \ 0, & \text{otherwise} \end{cases}

What is P(X≥0.4)P(X \ge 0.4) equal to?

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