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Probability and Distributions Practical

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ProbabilityandDistributionsPractical



Topics for practical
1. Introduction to Probability:

  • Formulate and apply Bayes’ Theorem Calculations for problems like The “TwoSupplier Example”.
    [Hint: Use Prior Probabilities and Conditional Probabilities to compute Joint and Posterior Probabilities.]
  • Design spreadsheet to demonstrate the association Between Two Variables by Computing the Covariance and Correlation Coefficient.
    [Hint:Use COVAR and CORREL)]
  • 2. Discover Probability using formulas:

  • Design and spreadsheet experiment to compute the probability using the geometric distribution formula.
  • Create a spreadsheet application to compute the Conditional Probability. Also determine the probability that a randomly chosen event.
  • 3. Random Variables and Distribution Functions:

  • Create spreadsheet application to Compute the Expected Value, Variance, and Standard Deviation
  • Create a spreadsheet application to Compute Binomial Probabilities.
    [Hint Use BINOMDIST]
  • 4. Probability Distribution and Law:

  • Create a spreadsheet application to Poisson Probability Distribution.
    [Hint:Use POISSON]
  • Create a spreadsheet application to implement joint probability law.
  • 5. Mathematical Expectation and Chebychev’s Theorem:

  • Create a spreadsheet application to compute the expectation of a Function of a Random Variable
  • Create a spreadsheet application to apply Chebychev’s Theorem.
  • 6. Conditional Expectation and Generating Functions:

  • Create a spreadsheet application to compute Conditional Expectation and Conditional Variance
  • Create a spreadsheet application to demonstrate the use of Generating Functions
  • 7. Theoretical Discrete Distributions 1:

  • Create spreadsheet application to demonstrate Bernoulli Distribution.
  • Create spreadsheet application to use excel function for computing hypergeometric probabilities.
  • 8. Theoretical Discrete Distributions 2:

  • Create spreadsheet application to Calculate Binomial Distribution in Excel.
    [Hint:Use BINOM.DIST]
  • Create suitable spreadsheet application to work with Power Series Distribution
  • 9. Theoretical Continuous Distributions 1:

  • Create spread application for computing probabilities and z values for the standard normal distribution.
    [Use NORMSDIST and NORMSINV]
  • Create spread application for computing probabilities for the exponential probability distribution.
    [Hint: Use EXPONDIST]
  • 10. Theoretical Continuous Distributions 2:

  • Create spread application for demonstrating Weibull Distribution to obtain a model for data sets.
    [Hint: Use WEIBULL.DIST]
  • Create spread application for demonstrating Pearson\s Distributions.
  • © Bsc Data science. All rights reserved. Developed by Jago Desain