A random variable X is defined as the sum of the numbers
on the faces when two dice are thrown. Find the expected
value of x.
Answers
Given : A random variable X is defined as the sum of the numbers
on the faces when two dice are thrown.
To Find : the expected value of x.
Solution:
Total possible outcome = 6 * 6 = 36
Sum can be from 2 to 12
E(X) P(X) E(X). P(X)
2 1/36 2/36
3 2/36 6/36
4 3/36 12/36
5 4/36 20/36
6 5/36 30/36
7 6/36 42/36
8 5/36 40/36
9 4/36 36/36
10 3/36 30/36
11 2/36 22/36
12 1/36 12/36
252/36
Expected Value = ∑ P(x).E(x) = 252/36 = 7
expected value of X is 7
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