Question

Find the variance of the number obtained on a throw of an unbiased die.

Answer 1

Let sample space of observation be s = {1, 2, 3, 4, 5, 6} 

X represents the number appeared on dice. 

Then x is a random variable takes value 1, 2, 3,4, 5 or 6. 

Also P(1) = P(2) = P(3) = P(4) = P(5) = P(6) = 1/6

∴ Probability distribution is following: