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## MA2102

# Probability and Statistics

#### Lecture-14

### Special Expectations

Now we are going to look at some important numerical measures associated with probability distribution of random variable.

Given a random variable $X$, along with its distribution, it would be extremely useful if we are able to summarize the essential properties of distribution by suitably defined measures. One such measure is $E(X)$

**Definition:**(Mean)

The mean value of random variable $X$ is denoted by $\mu$ and defined to be $\mu=E(X)$ provided it exists.