Use the geometric probability distribution to solve the following…

Question Answered step-by-step Use the geometric probability distribution to solve the following… Use the geometric probability distribution to solve the following problem.On the leeward side of the island of Oahu, in a small village, about 81% 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.(a)Write out a formula for the probability distribution of the random variable n. (Enter a mathematical expression.)P(n) =  (b)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) =  (c)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.) (d)What is the expected number of residents in the village you must meet before you encounter the first person of Hawaiian ancestry? Hint: Use ?? for the geometric distribution and round. (Enter a number. Round your answer to the nearest whole number.) residents  Math Statistics and Probability MATH 120 STATIS Share QuestionEmailCopy link Comments (0)