Section Merge: STAT/MATH 318 SP26 Quiz 10

Let the random variable 𝑋 have the following pdf:  𝑓 ( 𝑥 ) = 3 ( 1 − 𝑥 ) 2 where 0 < 𝑥 < 1 . Find 𝑔 ( 𝑦 ) , the pdf of 𝑌 = ( 2 − 2 𝑋 ) 3 , which is a decreasing function of 𝑋 . Also...