Let X1 and X2 have the joint pdf given by f(x1, x2) = begincases 2, & 0 < x1 < x2 < 1 0, & otherwise endcases. What is the marginal distribution of X1?

(B) f1(x1) = 2 - 2x1, 0 < x1 < 1

Q7Section I (Objective (Q1–Q80))7 of 80

Distribution Theory — marginal from triangular joint density

Let $X_1$ and $X_2$ have the joint pdf given by $f(x_1, x_2) = \begin{cases} 2, & 0 < x_1 < x_2 < 1 \ 0, & \text{otherwise} \end{cases}$ . What is the marginal distribution of $X_1$ ?

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