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Let 𝑈, 𝑉 are two continuous random variables with the following joint probability density function 𝑔(𝑢, 𝑣) = { 𝑝𝑢(1 + 𝑣)

Posted: Mon Jul 11, 2022 10:59 am
by answerhappygod
Let ๐‘ˆ, ๐‘‰ are two continuous random variables with the followingjoint probability density function
๐‘”(๐‘ข, ๐‘ฃ) = { ๐‘๐‘ข(1 + ๐‘ฃ), 0 โ‰ค ๐‘ข โ‰ค 1, 0 โ‰ค ๐‘ฃ โ‰ค 2
0 ๐‘œ๐‘กโ„Ž๐‘’๐‘Ÿ๐‘ค๐‘–๐‘ ๐‘’ .
Find the value of ๐‘
Find ๐‘ƒ(๐‘‰ + ๐‘ˆ โ‰ค 1)