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You have an assembly line which produces 1L bottles of seltzer with a standard deviation of 0.05L.
• Assuming the distribution of volume is normal, what is the chance any single bottle's volume is between 0.85L and 0.95L?
• If you chose 100 bottles at random, what would be the expected average volume of the bottles in your sample? What would the standard deviation of the sample average be? What is the shape of this distribution? Give reasons for your answers.
• If you pulled a sample of 50 bottles, what is the chance that you would find the average volume was greater than 0.99L?
Mode The mode is the value which occurs most frequently in a set of observations on the point of maximum frequency and around which other items of the set cluste
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Q. Find the inverse Laplace transform of Y (s) = s-4/s 2 + 4s + 13 +3s+5/s 2 - 2s -3. Q. Use the Laplace transform to solve the initial value problem y''+ y = cos(3t), y(0) =
Disadvantages The value of mode cannot always be determined. In some cases we may have a bimodal series. It is not capable of algebraic manipulations. For example, from t
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