Consider the following data: x 5 6 7 8 9
P ( X = x ) 0.1 0.1 0.3 0.1 0.4
Ans-
To find out some information from this data we have construct this table-
x | p(X=x) | x.p(X=x) | x^2p(X=x) |
5 | 0.1 | 0.5 | 2.5 |
6 | 0.1 | 0.6 | 3.6 |
7 | 0.3 | 2.1 | 14.7 |
8 | 0.1 | 0.8 | 6.4 |
9 | 0.4 | 3.6 | 32.4 |
7.6 | 59.6 |
now the mean for the given data
E(X) =7.6 = mean
Variance(X) = 59.6 - 7.6 =52
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