Normal Distribution 4 questions algebra

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uryybpurz

Mathematics

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Standard deviation, average, charts, graphs, mean median mode range. Percentages and all questions are in pictures! Thank you!

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In a normal distribution, a data value located 0.8 standard deviations below the mean has Standard Score: z= In a normal distribution, a data value located 2.1 standard deviations above the mean has Standard Score: z= In a normal distribution, the mean has Standard Score: z= The weights of a certain dog breed are approximately normally distributed with a mean of 48 pounds, and a standard deviation of 6.1 pounds. Use your graphing calculator to answer the following questions. Write your answers in percent form. Round your answers to the nearest tenth of a percent. a) Find the percentage of dogs of this breed that weigh less than 48 pounds. b) Find the percentage of dogs of this breed that weigh less than 45 pounds. c) Find the percentage of dogs of this breed that weigh more than 45 pounds. % % % The weights for newborn babies is approximately normally distributed with a mean of 5.6 pounds and a standard deviation of 1.1 pounds. Consider a group of 900 newborn babies: 1. How many would you expect to weigh between 4 and 9 pounds? 2. How many would you expect to weigh less than 8 pounds? 3. How many would you expect to weigh more than 5 pounds? 4. How many would you expect to weigh between 5.6 and 10 pounds? The weights of a certain dog breed are approximately normally distributed with a mean of u = 51 pounds, and a standard deviation of o = 7 pounds. A dog of this breed weighs 56 pounds. What is the dog's Z-score? Round your answer to the nearest hundredth as needed. A dog has a z-score of 0.58. What is the dog's weight? Round your answer to the nearest tenth as needed. pounds A dog has a z-score of -0.58. What is the dog's weight? Round your answer to the nearest tenth as needed. pounds
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