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 of the distribution for the sample mean