Question 1026160
 
Question:
Find the expected value for the probability distribution in the table below. 
Value 	Probability 
0 	0.15 
1 	0.2 
2 	0.1 
3 	0.25 
4 	0.3 
 
Solution:
For a given probability distribution p(x), the expected value is given by
E[X]=∑x*p(x)  over the valid values of x.
For the given distribution
X 	P(X) 
0 	0.15 
1 	0.2 
2 	0.1 
3 	0.25 
4 	0.3 
We calculate ∑x*p(x) = 0*0.15+1*0.2+2*0.1+3*0.25+4*0.3=2.35
So the expected value of the distribution is 2.35.