SOLUTION: I am desperate for some HELP! Determine whether each of the distributions given below represents a probability distribution. Justify your answers. (A) x_____|___1_____2_____3__

Algebra ->  Sequences-and-series -> SOLUTION: I am desperate for some HELP! Determine whether each of the distributions given below represents a probability distribution. Justify your answers. (A) x_____|___1_____2_____3__      Log On


   

Question 665579: I am desperate for some HELP!
Determine whether each of the distributions given below represents a probability distribution.
Justify your answers.
(A)
x_____|___1_____2_____3_______4
P (x) …| 1/5 ….5/12….1/3………1/6
(B)
X____| ___3_____6________8
P (x) | …0.2….2/5…………0.3
(C)
X____|___20_____35____40____50
P(x) | …..0.3…….-0.1…..0.5…….0.3
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

 

Hi,

the idea is too check to see if:

1) the probabilites in @ case total 1

2) there is no negative probabilities listed as an option



A   1/5 + 5/12 + 1/3 + 1/6 = 12/60 + 25/60 + 20/60 + 10/60 = 67/60 ≠ 1

B   0.2 + 2/5 + 0.3 = 2/10 + 4/10 + 3/10 = 9/10 ≠  1

C   P(x)is   -0.1  not possible... cannot have a 'negative' probability