I am working on PRF PRP problems, and I need some helps on these two problems.

2. Let F be a PRF. Consider the following function F': Fk(if x is even t IS Show that F is not a PRF even though F is. As with the previous problem, construct a distinguishe and work out the two probability values. 3. (Two parts): Let Fk be a PRP and consider the following encryption scheme for messages of size 2n Gen draws an n bit key uniformly at random Note that we break the 2n bit message into two parts n-mm2 where each mi s n bits. Problem Part 1: Construct the Dec functio Problem Part 2: Show that this is not EAV secure 2. Let F be a PRF. Consider the following function F': Fk(if x is even t IS Show that F is not a PRF even though F is. As with the previous problem, construct a distinguishe and work out the two probability values. 3. (Two parts): Let Fk be a PRP and consider the following encryption scheme for messages of size 2n Gen draws an n bit key uniformly at random Note that we break the 2n bit message into two parts n-mm2 where each mi s n bits. Problem Part 1: Construct the Dec functio Problem Part 2: Show that this is not EAV secure