Mathematics · Probability Distributions
For the bivariate random variable (X, Y), let the joint probability density function be f(x, y) = 9(1 + x + y)2(1 + x)4(1 + y)4 for 0 < x < ∞ and 0 < y < ∞. What is the marginal PDF of X?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 13(2x + 3)4(1 + x)4✓
- 23(2x + 3)(1 + x)4
- 33(2x + 1)4(1 + x)4
- 43(2x + 3)2(1 + x)
Correct answer
3(2x + 3)4(1 + x)4
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