Probability and Statistics

The folder named Bank contains an assorted collection of questions in probability and statistics. All questions have answers, some may have hints and solutions. The syllabus for this topic is given below:

• Counting
  • Permutations and combination
• Probability
  • Probability axioms
  • Sample space
  • Events
    • Independent events
    • Mutually exclusive events
  • Marginal, conditional and joint probabilities
  • Bayes’ Theorem
  • Conditional expectation
• Discrete random variables
  • Probability mass functions
    • Uniform
    • Bernoulli
    • Binomial distribution
    • Poisson
• Continuous random variables
  • Probability distribution functions
    • Uniform
    • Exponential
    • Normal, standard normal
    • t-distribution
    • chi-squared distribution
  • Cumulative distribution function
  • Conditional PDF
• Central limit theorem
• Important statistical quantities
  • Mean, median, mode
  • Variance and standard deviation
  • Correlation and covariance
• Confidence interval, z-test, t-test, chi-squared test