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An Analyst Expects That 10% of All Publicly Traded Companies

question 73

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An analyst expects that 10% of all publicly traded companies will experience a decline in earnings next year.The analyst has developed a ratio to help forecast this decline.If the company is headed for a decline,there is a 70% chance that this ratio will be negative.If the company is not headed for a decline,there is only a 20% chance that the ratio will be negative.The analyst randomly selects a company and its ratio is negative.Based on Bayes's theorem,the posterior probability that the company will experience a decline is ____.


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