On the leeward side of the island of Oahu, in the small village of Nanakuli, about 80% of the residents are of Hawaiian ancestry (Source: The Honolulu Advertiser). Let n = 1, 2, 3, . . represent the number of people you must meet until you encounter the fi­rst person of Hawaiian ancestry in the village of Nanakuli.

(a) Write out a formula for the probability distribution of the random variable n.

(b) Compute the probabilities that n = 1, n = 2, and n = 3.

(c) Compute the probability that n ≥ 4.

(d) In Waikiki, it is estimated that about 4% of the residents are of Hawaiian ancestry. Repeat parts (a), (b), and (c) for Waikiki.