Ch 1 Fundamentals of Probability

Question 1

What are events and event spaces?

Answer 1

outcome - result on a single trial.
sample space - set of possible outcomes
event: result reflecting one or more outcomes. Use se theory to describe it based on fundamental outcomes. Events are subsets of the sample space. elementary event - one one outcome

discrete RV - RV with countable (maybe infinite) domain w.r.t sample space
continuous rv - RV with uncountable domain

Question 2

What is mutual exclusivity

Answer 2

p(a U b) = pa + pb is mutally exlusive . ie intyersection is empty set

Question 3

what are independent events

Answer 3

A and B independent if pA*Pb = P (A AND b)

IE p a GIVEN b is thn same as p A

Question 4

what is bayes theorem?

Answer 4

P(A|B) = p(A^B)/P(B)

Question 5

Independent vs Conditionally independent events?

Question 6

How to use a probability matrix to get marginal and conditional probabilities?

Question 7

Compare Bayesian- to Frequentist- approach?