# 1. Use the geometric probability distribution to solve the following.docx

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1. Use the geometric probability distribution to solve the following problem. On the leeward side of the island of Oahu, in a small village, about 80% 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 2. Innocent until proven guilty? In Japanese criminal trials,
about 95% of the defendants are found guilty. In the United

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• Fall '19
• Probability theory, probability density function, Jim, Big Rock Insurance

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