Lecture 2

Question 1

Experiment

Answer 1

an experiment is a process that generates well-defined outcomes.

Question 2

Sample space (S)

Answer 2

collection of all possible outcomes

Question 3

sample point

Answer 3

an experimental outcome is called a sample point or an element

Question 4

event

Answer 4

an event is a set consisting of a specific collection of sample points

Question 5

Complement event “formula”

Answer 5

The complement of an event E is defined as E roof = S\E. You can think about this as: E roof= S - E

Question 6

intersection

Answer 6

outcomes in both event a and b
A bridge B

Question 7

union

Answer 7

outcomes in either events A or B or both
A U B

Question 9

mutually exclusive events

Answer 9

if two events does not occur simultaneously

Question 10

Probability of an event (formula)

Answer 10

P(A) = n(A)/n(S)

Question 11

The probability of any event is A bounded between 0 and 1

Answer 11

0<P(A)< 1 (och lika med)

Question 12

The probability of the Complement of any event A is

Answer 12

P(Aroof) = P(S) - P(A) = 1-P(A)

Question 13

The probability that event A, B, or both occurs is calculated as

Answer 13

P(AUB) = P(A) + P(B) - P(AbridgeB)

Question 14

write A bridge B does not contain sample points

Answer 14

A bridge B = 0/

Question 15

the intersection of two mutually exclusive events, A and B, has probability 0 “formula”

Answer 15

P(A bridge B) = 0

Question 16

Probability of an event - Conditional probability

Answer 16

The probability of an event given that another event occurred is called conditional probability.
The original sample space is revised to account for the “new” information, i.e. certain outcomes are eliminated.
Look in notes how denoted

Question 17

Probability of an event - Bayes’ theorem

Answer 17

determines conditional probability

Question 18

independent events

Answer 18

P(A|B) = P(A) or P(B|A)=P(B)
–>
P (A bridge B) = P(A)P(B)

Question 19

Are independent events and mutually exclusive events the same thing?

Answer 19

No.
Mutually exclusive; P (A bridge B) = 0 always
Independent: P (A bridge B) = P(A)P(B)

Question 20

Combinations

Answer 20

Arrangements without respect to order

Question 21

Permutations

Answer 21

Arrangements with respect to order