Example 1 We then differentiate and obtain the following (for0≤y≤1 fr(y)= d0y2)=2y, d0=“ay Outside the range [0,1]: The CDF Fy(y)is constant:Fy(y)= 8 fory≤0 fory≥1 Thus by differentiating,fy(y)=0 for y0,1].Example 1 We then differentiate and obtain the following (for 0 ≤ 𝑦 ≤ 1) 𝑓𝑌 𝑦 = 𝑑𝐹𝑌 𝑑𝑦 𝑦 = 𝑑(𝑦 2 ) 𝑑𝑦 = 2𝑦, Outside the range 0,1 : The CDF 𝐹𝑌(𝑦) is constant: 𝐹𝑌(𝑦) = 0 for 𝑦 ≤ 0 1 for 𝑦 ≥ 1 Thus by differentiating, 𝑓𝑌 𝑦 = 0 for 𝑦 ∉ 0,1