Need help checking on my answers.

The directions are "write the distribution for the formula and determine whether it is a probability distribution."

The questions and my solutions are:

1) P(X)=x/6 for X=1,2,3

My solution is

X = 1 2 3

P(X) = 1/6 2/6 3/6-> 1/2

Yes it is a probability distribution.

2) P(X)=x for x =0.2, 0.3, 0.5

My solution is

X = 0.2 0.3 0.5

P(X) = 0.2 0.3 0.5

Yes it is a probability distribution.

3) P(X)=X/6 for X = 3, 4, 7

My solution is

X = 3 4 7

P(X) = 3/6 4/6 7/6

No it is not a probability distribution.

4) P(X)=X + 0.1 for X = 0.1, 0.02, 0.04

My solution is

X = 0.1 0.02 0.04

P(X) = 0.2 0.12 0.14

No it is not a probability distribution.

5) P(X)=X/7 for X = 1, 2, 4

My solution is

X = 1 2 4

P(X) = 1/7 2/7 4/7

Yes it is a probability distribution.

6) P(X)=X/(X+2) for X = 0, 1, 2

My solution is

X = 0 1 2

P(X) = 0 1/3 2/4-> 1/2

No it is not a probability distribution.

Thanks. Can you guys tell me whether they are wrong and tell me what is wrong on my work. Thanks!