Binomial distribution-legal speed limit
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According to a recently conducted survey, 90% of all drivers in Trinidad and Tobago claim to consistently driver over the legal speed limit. Assume that this result is true for the current population of the Cayman Islands. Find the probability that, in a random sample of 20 drivers:
1. None of them drive over the legal limit
2. Exactly 5 of them drive over the legal limit
3. At least 2 of them drive over the legal speed limit
4. 19 of them DO NOT drive the legal limit
5. Find the mean
6. Find the variance
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Solution Summary
Solution contains detailed step-by-step information on finding probabilities using Binomial Distribution. Also the solution gives information on mean and variance of a binomial distribution.
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Binomial distribution
According to a recently conducted survey, 90% of all drivers in Trinidad and Tobago claim to consistently driver over the legal speed limit. Assume that this result is true for the current population of the Cayman Islands. Find the probability that, in a random sample of 20 drivers:
1. None of them drive over the legal limit
2. Exactly 5 of them drive over the legal limit
3. At least 2 of them drive over the legal speed limit
4. 19 of them DO NOT drive the legal limit
5. Find the mean
6. Find the variance
Answers
Let X be the number of drivers in Trinidad and Tobago claim to consistently drive over the legal speed ...
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