Consider a variable with values 1,2,3,4 with probabilities of .3, .2, .1 and .4

Imagine that these variables come from a very huge population say 1 million.

a) How many of these 1 million would you think have the values 1,2,3,4 respectively?

b) Using the values in a), what is the mean you would calculate for the variable?

c) How does this compare with the value you would calculate as the expected value of this probabilistic variable ?