The mean number of question got right is 7.4
X 5 6 7 8 9 10
P(X) 0.05 0.2 0.4 0.1 0.15 0.1
The mean is calculated using:
[tex]E(x) = \sum x *P(x)[/tex]
So, we have:
E(x) = 5 * 0.05 + 6 * 0.2 + 7 * 0.4 + 8 * 0.1 + 9 *0.15 + 10 * 0.1
Evaluate the products
E(x) = 0.25 + 1.2 + 2.8 + 0.8 + 1.35 + 1
Evaluate the sum
E(x) = 7.4
Hence, the mean is 7.4
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