Assume that 12 people are asked to pick a random number 12or

Assume that 12 people are asked to pick a random number, 1,2,or 3. What is the expected probability mass function for the population?

Solution

As they are picking randomly, and there are three numbers, the numbers must each have equal probability that will add up to 1.

Thus, the expected probability mass function is

P(x) = 1/3, x = 1,2,3 [answer]