SOLUTION: Determine whether each of the distributions given below represents a probability distribution. Justify your answer.
(A)
x
1
2
3
4
P(x)
1/4
1/12
1/3
Algebra ->
Probability-and-statistics
-> SOLUTION: Determine whether each of the distributions given below represents a probability distribution. Justify your answer.
(A)
x
1
2
3
4
P(x)
1/4
1/12
1/3
Log On
You can put this solution on YOUR website! Determine whether each of the distributions given below represents a probability distribution. Justify your answer.
(A)
x
1
2
3
4
P(x)
1/4 = 3/12
1/12 = 1/12
1/3 = 4/12
1/6 = 2/12
----
Not a p.d.: probs do not sum to 1.
===========================================
(B)
x
3
6
8
P(x)
0.2 = 0.2
2/5 = 0.4
0.3 = 0.333
---
No because probs do not sum to 1.
======================================
(C)
x
20
35
40
50
P(x)
0.3
-0.1
0.5
0.3
--
No because a probability cannot be negative
===============
Cheers,
Stan H.
===============