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!