Reference no: EM132432544

Problem: On the leeward side of the island of Oahu, in a small village, about 79% of the residents are of Hawaiian ancestry. 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.

Question 1: Write out a formula for the probability distribution of the random variable n. (Enter a mathematical expression.)

P(n) = 

Question 2: Compute the probabilities that n = 1, n = 2, and n = 3. (For each answer, enter a number. Round your answers to three decimal places.)

P(1) = 

P(2) = 

P(3) = 

Question 3: Compute the probability that n ≥ 4. Hint: P(n ≥ 4) = 1 - P(n = 1) - P(n = 2) - P(n = 3). (Enter a number. Round your answer to three decimal places.)

Question 4: What is the expected number of residents in the village you must meet before you encounter the first person of Hawaiian ancestry? Hint: Use μ for the geometric distribution and round. (Enter a number. Round your answer to the nearest whole number.)  residents