31) Suppose that 10,000 married adults in Pangaea were randomly surveyed as to the number of children they have. The results are compiled below and are used as theoretical probabilities. Let x = the number of children married people have. X x . P(x) (x - u) . P(x) 0 0.06 0.22 2 0.35 0.11 0.04 6 0.02 a. Complete the probability table above. Show work to support your answer! b. Find the expected value E(x). Round answer to nearest hundredth (2 places after decimal). Show work to support your answer! E(X) = c. Calculate the population standard deviation . Show work to support your