Question

A Bernoulli variate takes a value 1 and 0 with probabilities 0.2 and 0.8 respectively. Find the mean and variance.

Answer 1

The probability distribution is:

x:	1	0
p(x):	0.2	0.8

Mean = P = 0.2.

Variance = P(1 – P) 

= 0.2 x 0.8 

= 0.16.