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Last active January 30, 2017 17:37
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Probability, Statistics, Machine Learning Concepts
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a.md

Concepts

  • Max.Likelihood
  • Bernoulli Equation
  • Poisson Probability
  • Normal distribution
  • Gaussian distribution
  • The central limit theorem
  • Pearson Correlation Coefficient

The Central Limit Theorem

http://courses.mai.liu.se/GU/TAMS28/Tentor/TAMS28-2014-08-20-solutions.pdf Example: A large freight elevator can transport a maximum of 9800 kg. Suppose a load of cargo containing 49 boxes must be transported via the elevator. If we know that the weight of a box of this type follows a distribution with mean µ = 205 kg and standard deviation σ = 15 kg. Based on this information, what is the probability that all 49 boxes can be safely loaded onto the elevator and transported?

Solution: Let {X1, . . . , X49} be the weights of these 49 boxes. In order to make sure that all 49 boxes can be safely loaded onto the elevator and transported, it is required that X1 + . . . + X49 ≤ 9800. Therefore we aim to find the probability P(X1 + . . . + X49 ≤ 9800)

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