SOLUTION: Determine whether each of the distributions given below represents a probability distribution. Justify your answer. (A) x 1 2 3 4 P(x) 0.3 1/5 1/5

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Question 228402: Determine whether each of the distributions given below represents a probability distribution. Justify your answer.


(A)
x
1
2
3
4

P(x)
0.3
1/5
1/5
3/10



(B)
x
3
6
8

P(x)
0.2
3/5
3/10




(C)

x
20
30
40
50

P(x)
0.1
0.1
0.5
0.3
Answer by stanbon(75887)   (Show Source): 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)
0.3
1/5
1/5
3/10
---
Ans: Yes because each probability is between 0 and 1
And the sum of the probabilities is 1
-------------------------------------------


(B)
x
3
6
8
P(x)
0.2
3/5
3/10
---
Ans: No because the sum of the probs is greater than 1
-------------------------------------------------------



(C)
x
20
30
40
50
P(x)
0.1
0.1
0.5
0.3
---
Ans : Yes
same reasons as for "A".
-------------------------------
Cheers,
Stan H.
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