• probability distributions

• statistical inference

• mean/variance

• normal distribution

• probability

  • given x, chance of outcome y
  • sum = 1

• likelihood

  • common usage meaning and stats meaning are different.
  • given y, find likeliest x

• bayes theorem

  • P(A|B) = posterior = prob A given B true
  • P(B|A) = likelihood = prob B given A true
  • P(A) = prior = prob A true
  • P(B) =marginal

• Bernoulli distribution

  • discrete probability for a single trial
  • all 100% possibility = 1

• probability

• variance

data = np.array([1,2,3,4,5])
np.var(data) # 2.0

https://youtu.be/ZdT_H0KHhFI?si=hq_mj23mnYtLVuRv

created on: Wed Jul 08 2026