Basics of probality

Question 1

Phenomenon

Answer 1

some result we would like to observe

Question 2

Sample space

Answer 2

is the set of all possible outcomes of a phenomenon such that the outcomes are miutally exclusive

Question 3

Discrete sample space

Answer 3

A sample space is discrete when the total number of possible outcomes cna be easily defined and written out

Question 4

Continous sample space

Answer 4

A sample space is continous when the tital number of possible outcomes uncountably infinte and cannot be written out

Question 5

An event

Answer 5

An event is any collection of outcomes of a random phenomenon

Question 6

what does probality attempyt to descirbve

Answer 6

Probality attempts to descirve the long term patterns of random phenomenon

Question 7

what is probability of an event

Answer 7

The probability of an event is the proportion of times the event occurs in many repeated trials of a random phenomenon

Question 8

what do we want repeated trails trails to be?

Answer 8

independent

Question 9

Independence

Answer 9

The outcome of one trail does not influence the outcome of any other trail

Question 10

disjointed events

Answer 10

Two events H and G are disjoint if they dont share any outcomes

Question 11

can disjointed events occur simultaneously

Answer 11

no they can not

Question 12

Probability axioms rules

Answer 12

P(H or G) = P(H) + p (G)

Question 13

In a continuous probability model the probality of any indviual outcome is

Answer 13

0 because a continous sample spce includes uncountably infinitely many outcomes, it is impossible to expect any one particular outcome to occur