The joint pdf of a two-dimensional random variable (X, Y) is given

by 𝑓(𝑥, 𝑦) = 𝑥𝑦^2 + (𝑥^2 /8 )

, 0 ≤ 𝑥 ≤ 2, 0 ≤ 𝑦 ≤ 1.

Compute (i) 𝑃 (𝑋 > 1 / 𝑌 < ½)

(ii)𝑃 (Y < 1/2/𝑋 > 1 ) (iii) 𝑃(𝑋 < 𝑌) (iv) 𝑃(𝑋 + 𝑌) ≤ 1. solve it step by step

asked by guest
on Mar 30, 2025 at 10:18 pm



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