Question: An investigator wants to take an unequal-probability sample of 10 of the 25 psu's in the population listed below and wishes to sample units with replacement.

a. Adapt the cumulative-size method to draw a sample of size 10 with replacement with probabilities Ψi.
b. Adapt Lahiri's method to draw a sample of size 10 with replacement with probabilities Ψi.