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Need help explaining these properly as instructed, thank you! Normal Approximations for Binomial or Poisson -- Explain why the Normal distribution can be used to

Need help explaining these properly as instructed, thank you!

  1. Normal Approximations for Binomial or Poisson-- Explain why the Normal distribution can be used to approximate the Binomial or Poisson distributions. Don't just describe how to do the approximations. Use your knowledge of statistics to discuss why the approximations obtained are good or bad in certain situations.
  2. Normal versustDistribution-- Explain why the variation in thetdistribution changes as the degrees of freedom change and, in particular, what relation this bears between thetand Normal distributions.
  3. Confidence and Prediction Bounds in Regression-- Explain how engineering decision-making is effected by the use of confidence and prediction bounds in regression analysis. Don't just describe how to calculate the bounds. Use your knowledge of statistics to discuss the actual impact these factors have on our engineering.

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