SOLUTION: Determine if each of the distributions given below represent a probability distribution. A. x 1 2 3 4 P (x) 1/12 5/12 1/3 1/12 B. x 3 6 8 P(x) 2/10 .5 1/

Algebra ->  Probability-and-statistics -> SOLUTION: Determine if each of the distributions given below represent a probability distribution. A. x 1 2 3 4 P (x) 1/12 5/12 1/3 1/12 B. x 3 6 8 P(x) 2/10 .5 1/      Log On


   

Question 228660: Determine if each of the distributions given below represent a probability distribution.
A.
x
1
2
3
4
P (x)
1/12
5/12
1/3
1/12
B.
x
3
6
8
P(x)
2/10
.5
1/5
C.
x
20
30
40
50
P(x)
0.4
-
0.2
0.5
0.3
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Determine if each of the distributions given below represent a probability distribution.
A.
x
1
2
3
4
P (x)
1/12
5/12
1/3 = 4/12
1/12
----------
No because the probabilities add up to 11/12 and need to add up to 12/12
-----------------------------------------------------------------------

B.
x
3
6
8
P(x)
2/10
.5 = 5/10
1/5 = 2/10
No because the probs add up to 9/10
----------------------------------------------
C.
x
20
30
40
50
P(x)
0.4
0.2
0.5
0.3
No because the probs add up to more than 1.
---------------------------
Cheers,
Stan H.