An investigator wants to take an unequal-probability sample of 10 of the 25 psus in the population listed below and in file exercise0602.dat, 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. Instead of randomly selecting integers between 1 and

b. Adapt Lahiri€™s method to draw a sample of size 10 with replacement with probabilities ψi.

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psu 70.076580 20 0.036590 8 0.03898 210.033853 9 0.040772 22 0.016959 2 2 12 0.024917 25 0.059186