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Please include steps to the solutions. Thank you. Data are drawn from a bell-shaped distribution with a mean of 30 and a standard deviation of

Please include steps to the solutions. Thank you.

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Data are drawn from a bell-shaped distribution with a mean of 30 and a standard deviation of 3. a. Approximately what percentage of the observations fall between 27 and 33? (Round your answer to the nearest whole percent.) Percentage of observations b. Approximately what percentage of the observations fall between 24 and 36? (Round your answer to the nearest whole percent.) Percentage of observations % c. Approximately what percentage of the observations are less than 24? (Round your answer to 1 decimal place.) Percentage of observations % Data are drawn from a bell-shaped distribution with a mean of 110 and a standard deviation of 5. There are 2,000 observations in the data set. a. Approximately what percentage of the observations are less than 120? (Round your answer to 1 decimal place.) Percentage of observations 1% b. Approximately how many observations are less than 120? (Round your answer to the nearest whole number.) I Number of observations A data set has a mean of 1500 and a standard deviation of 100. a. Using Chebyshev's theorem, what percentage of the observations fall between 1300 and 1700? (Do not round intermediate calculations. Round your answer to the nearest whole percent.) Percentage of observations % b. Using Chebyshev's theorem, what percentage of the observations fall between 1200 and 1800? (Do not round intermediate calculations. Round your answer to the nearest whole percent.) Percentage of observations

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