Answer:
The expected value is 0.86.
Step-by-step explanation:
To find the expected value, multiply each x value by the corresponding probability, and then sum up these products:
(-5)(0.12) + (-1)(0.16) + (0)(0.28) + 1(0.22) + 5(0.12) + 8(0.10).
This comes out to
-0.60 - 0.16 + 0 + 0.22 + 0.60 + 0.8 = 0.86
The expected value is 0.86.
The sum of the variables of a random variable with each variable multiplied by its probability of occurrence.
Given the following:
x: -5 -1 0 1 5 8
P(x): 0.12 0.16 0.28 0.22 0.12 0.1
Expected value = sum of [x [tex]*[/tex] p(x)]
sum of [tex][x * p(x)][/tex]
[tex]= (-5*0.12) + (-1*0.16) + (0*0.28) + (1*0.22) + (5*0.12) + (8*0.1)[/tex]
= -0.60 - 0.16 + 0 + 0.22 + 0.60 + 0.8
= 0.86
Therefore, the expected value is 0.86.
To learn more about the expected value
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