SOLUTION: 1. 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
Algebra ->
Probability-and-statistics
-> SOLUTION: 1. 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
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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.
