Question: Question 1:

Census data are often used to create probability distributions for various random variables. Census data for families with a combined income of $50,000 or more in a particular state show that 20% have no children, 30% have one child, 40% have two children, and 10% have three children. From this information:

a) construct the probability distribution for x, where x represents the number of children per family.

b) find the mean of the distribution.

c) find the variance and standard deviation of the distribution.