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Empirical Rule Practice Recall The Empirical Rule can be applied to any normal distribution. It states the following: 68% of the area under the curve

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Empirical Rule Practice Recall The Empirical Rule can be applied to any normal distribution. It states the following: 68% of the area under the curve is located within one standard deviation of the mean. . 95% of the area under the curve is located within two standard deviations of the mean. 99.7% of the area under the curve is located within three standard deviations of the mean. We can use the rule to break the curve into different sections. 34% 34% 2.35% 2.35% 13.5% 13.5% 0.15% H - 30 H - 20 H - O Hto H + 20 H+30 0.15% For each question, sketch the normal curve with the appropriate area shaded, find the probability and write the answer using the probability notation. 1. The weight of male Dobermans is normally distributed with mean 92 pounds and standard deviation 1 pound. What is the probability that a randomly selected male Doberman will weigh more than 95 pounds? 2. The weight of male Dobermans is normally distributed with mean 92 pounds and standard deviation 1 pound. What is the probability that a randomly selected male Doberman will weigh less than 92 pounds? 3. The weight of male Dobermans is normally distributed with mean 92 pounds and standard deviation 1 pound. What is the probability that a randomly selected male Doberman will weigh more than 92 pounds and less than 95? 4. The weight of male Dobermans is normally distributed with mean 92 pounds and standard deviation 1 pound. What is the probability that a randomly selected male Doberman will weigh more than 90 pounds and less than 95? 5. The average number of acres used for growing tobacco in Kentucky is 75,300 acres per year, with a standard deviation of 5,000 acres. What is the probability that more than 85,300 acres will be used for growing tobacco? 6. The average number of acres used for growing tobacco in Kentucky is 75,300 acres per year, with a standard deviation of 5,000 acres. What is the probability that less than 85,300 acres and more than 70,300 acres will be used for growing tobacco?| 7. The average number of acres used for growing tobacco in Kentucky is 75,300 acres per year, with a standard deviation of 5,000 acres. What is the probability that less than 80,300 acres and more than 65,300 acres will be used for growing tobacco

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