Respuesta :
The probability distribution for B is equal to the one. Thus probability distribution for B, represents a valid probability distribution
What is probability?
Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.
As the probability of an event can not be more than the number 1.
Thus he probability of failure of a event is equal to the difference of the 1 to the success of the event. As,
Given information-
The first column is labeled x.
The second column is labeled P (x).
As the probability of an event can not be more than the number 1. Thus the sum of the probability distribution is always equal to one.
Lets check all the options one by one as,
- A) Probability distribution for A,
x 1, 2, 3, 4
P(x) 0.14, 0.6, 0.25, 0.29
Sum of probability distribution for A is,
[tex]\sum P(x)=0.14+ 0.6+ 0.25+ 0.29\\\sum P(x)=1.28[/tex]
As the Sum of probability distribution for A is more than one. Thus this is not the correct option.
- B) Probability distribution for B,
x 1, 2, 3, 4
P(x) 0, 0.45, 0.16, 0.39
Sum of probability distribution for B is,
[tex]\sum P(x)=0+0.45+0.16+0.39\\\sum P(x)=1[/tex]
As the Sum of probability distribution for B is equal to one. Thus this is the correct option.
- C) Probability distribution for C,
x 1, 2, 3, 4
P(x) 0.45, 1.23, -0.87, 0.19
As the value for 2nd table in probability distribution for C more than one and in 3rd column is less than zero. Thus is not the correct option.
- D) Probability distribution for D,
x 1, 2, 3, 4
P(x) 0.87, 0.56, 0, 1. 38.
Sum of probability distribution for D is,
[tex]\sum P(x)= 0.87+ 0.56+ 0,+ 1. 38.\\\sum P(x)=2.81[/tex]
As the Sum of probability distribution for D is not equal to one. Thus this is the not correct option.
As the probability distribution for B is equal to the one. Thus probability distribution for B, represents a valid probability distribution
Learn more about the probability here;
https://brainly.com/question/24756209
