Lecture 7

• Lecture 7
  • Video
  • Topics
  • Probability Distributions
  • Random Variable
  • Probability
  • Prob Distribution
    • Binomial Prob Distribution
    • Expected Value and Variance
    • Normal Distributions
    • Beta Distribution
    • LogNormal

Video

link

Topics

Probability Distributions

• What is the importance of it?
• maan le avg height of students nikalni bits ke, how do u do?
  • we will collect data.
  • Can u associate it with some prob distribution?
    • most ppl will be around avg, kuch hi bahut tall ya short => normal
    • similarly marks of students bhi normal se..
• most of real life problems are not unimodel, we can have many distributions and of different types
• in case of heights, we will have 2 distributions mixture, ek for avg ht of males, ek for females

Random Variable

• point prob of a continuous distribution is 0

Probability

Prob Distribution

Binomial Prob Distribution

Expected Value and Variance

Normal Distributions

• this is for 1 dimensional variable, what if 2 dimensional ho variables
• say age and height
• expand it to 3d

• say u1 is ht of mails, and u2 of femails

• sometimes values might not follow normal distribution, we might take sq roots or smth and make them normal

Beta Distribution

LogNormal