SOLUTION: Determine whether each of the distributions given below represents a probability distribution. Justify your answer. (A) x 1 2 3 4 P(x)3/5 12/25 3/25

Question 610379: Determine whether each of the distributions given below represents a probability distribution. Justify your answer.

(A)
x 1 2 3 4

P(x)3/5 12/25 3/25 0

(B)
x 3 6 8

P(x)0.15 3/5 0.25

(C)
x 20 35 40 50

P(x)0.45 0.25 1/4 0.05

each is lined above each other.
example in (c)
20 is directly above 0.45, 35 is directly above 0.25, 40 is directly above 1/4 etc.

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
(A)
x 1 2 3 4
P(x)3/5 12/25 3/25 0
No, because the sum of the P(x)'s is greater than one.
========================================

(B)
x 3 6 8
P(x)0.15 3/5 0.25
Yes beause sum of P(x)'s = 1 and each P(x) is between 0 and 1
===========================================

(C)
x 20 35 40 50
P(x)0.45 0.25 1/4 0.05
Yes for same reason as for "B"
================================
Cheers,
Stan H.

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