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Assume 45% of Tesla cars in the U.S. are registered in California (https://hedgescompany.com/automotive-market-research-statistics/auto-mailing-lists-and-marketing/). If you get a random sample of 200 Tesla cars, what is the chance that the percentage of these cars registered in California is more than 48%?
* Get the chance based on the normal distribution model.
* Use R code to mimic generating 2000 random samples of 200 Tesla cars, and get the histgram of the 2000 sample proportions. Is it close to normal distribution (symmetric bell shaped density)? Get the proportion of the samples with sample proportions more than 0.48. Is this proportion close to the probability calculated based on normal distribution model?
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LINEAR PROGRAMMING MODELS
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