SOLUTION: What of the following pairs of probability values would complete the following probability distribution? <pre> x P(x) -3 0.15 -2 0.24 -1 p1 0 p2 1 0.12

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Question 1099491: What of the following pairs of probability values would
complete the following probability distribution?
 x   P(x)
-3   0.15
-2   0.24
-1    p1
 0    p2
 1   0.12
 2   0.24
	
a. p1 = 0.14, p2 = 0.39
		
b. p1 = –0.1, p2 = 0.35
		
c. p1 = 0.25, p2= 0.15
		
d. p1= 0.1, p2 = 0.15
Answer by Edwin McCravy(20063)   (Show Source): You can put this solution on YOUR website!
 x   P(x)
-3   0.15
-2   0.24
-1    p1
 0    p2
 1   0.12
 2   0.24

The sum of the P(x) must be 1

0.15+0.24+p1+p2+0.12+0.24 = 1
               0.75+p1+p2 = 1
                    p1+p2 = 0.25

So pi+p2 must equal 0.25

a. p1 = 0.14, p2 = 0.39 <-- that's not it because 0.14+0.39 = 0.53, not 0.25
		
b. p1 = –0.1, p2 = 0.35 <-- that's not it because a negative number
                            cannot be a probability.
		
c. p1 = 0.25, p2= 0.15 <-- that's not it because 0.25+0.15 = 0.40, not 0.25 
		
d. p1= 0.1, p2 = 0.15  <-- that's it because 0.1+0.15 = 0.25

Edwin
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