# Calculate the Expectation and Variance

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Please see the attached file for full problem description.

Let X be a random variable with the following probability distribution.

Value x of X P(X = x)

0 0.5

10 0.55

20 0.05

30 0.10

40 0.10

50 0.15

Find the expectation E(X) and the variance var(x) of X.

1. E(X) =

2. Var(X) =

https://brainmass.com/statistics/probability/13710

#### Solution Summary

In the following question, mean and variance are calculated for a probability distribution where the values and their associated probabilities are provided. This solution includes two brief calculations.

$2.49