Consider the population for a random variable X that denotes the number of children in young families in Victoria. For this question, this variable X takes three values only in the population: 1, 2 and 3 children. The population distribution for this random variable is provided in the following table.

Value of X = x	Probability p(x)
1	0.45
2	0.30
3	0.25

Calculate the mean, variance and standard deviation for the random variable X. Describe these measures in words.

Now we want to investigate the sampling distribution for the sample mean for this particular population. Consider all possible samples of size n=3 that you could draw from this population. Provide in a table a list of all of these potential samples, the probability of each potential sample occurring, and the sample mean for each potential sample.