The mean and variance of the following discrete probability distribution is 1.3 and 0.81
Mean -The Arithmetic Mean is the average of the numbers: a calculated "central" value of a set of numbers.
To calculate it:
• add up all the numbers,
• then divide by how many numbers there are.
Add up all the numbers to compute it.
Variance-The expectation of a random variable's squared divergence from its population means or sample means is known as its variance. Variance is a measure of dispersion, or how far apart from the mean a group of data is from one another. Descriptive statistics, statistical inference, hypothesis testing, the goodness of fit, and Monte Carlo sampling are just a few of the concepts that make use of a variance. In the sciences, where statistical data analysis is widespread, a variance is a crucial tool.
Then divide the result by the number of numbers.
mean = 0*0.2 + 1*0.4 + 2*0.3 + 3*0.1 = 1.3
variance = 0^2*0.2 + 1^2*0.4 + 2^2*0.3 + 3^2*0.1 - 1.3^2 = 0.81
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