Notice that they said "median" and not "mean." So it's binomial with p = 0.5 and n = 4.
The median annual income for the heads of households in a certain city is $44,000. Four such heads of households are randomly selected for inclusion in an opinion poll. Let X be the number (out of four) who have annual incomes below $44,000.
Find the probability distribution.
I don't know what y is.