On the leeward side of the island of Oahu, in a small village, about 85% 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. Write out a formula for the probability distribution of the random variable n.   Compute the probabilities that n = 1, n = 2, and n = 3.   Compute the probability that n ≥ 4. Hint: P(n ≥ 4) = 1 − P(n = 1) − P(n = 2) − P(n = 3)   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.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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On the leeward side of the island of Oahu, in a small village, about 85% 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.

Write out a formula for the probability distribution of the random variable n.
 
Compute the probabilities that n = 1, n = 2, and n = 3.
 
Compute the probability that n ≥ 4. HintP(n ≥ 4) = 1 − P(n = 1) − P(n = 2) − P(n = 3)
 
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.
 
 
 
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