Help i need this one question asap
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Answer:
The expected number of people you must meet until you encounter the first person of Hawaiian ancestry in the village of Nanakuli is 3.3
Step-by-step explanation:
For each person, there are only two possible outcomes. Either they are of Hawaiian ancestry, or they are not. The probability of a person being of Hawaiian ancestry is independent of any other person. So we use the binomial probability distribution to solve this question.
Binomial probability distribution:
The expected number of trials to find r sucesses, with p propability, is given by:
30% of the residents are of Hawaiian ancestry.
This means that
What is the expected number of people you must meet until you encounter the first person of Hawaiian ancestry in the village of Nanakuli?
This is E when r = 1. So
The expected number of people you must meet until you encounter the first person of Hawaiian ancestry in the village of Nanakuli is 3.3