Module 4- Sample Spaces and Probability

Question 1

What is a probability experiment?

Answer 1

A chance process that leads to well defined results called outcome

Question 2

What is an outcome?

Answer 2

result of a single trial of a probability experiment

Question 3

What is a sample space?

Answer 3

set of all possible outcomes of a probability experiment

Question 4

What is an event?

Answer 4

a set of outcomes of a probability experiment

Question 5

What are the 3 basic interpretations of probability?

Answer 5

1. Classical
2. Empirical
3. Subjective

Question 6

What is classical probability?

Answer 6

uses sample spaces to determine the numerical probability that an event will happen.
It assumes that all outcomes in the sample space are equally likely to occur.

Question 7

What is the rounding rule for probabilities?

Answer 7

should be expressed as reduced fractions or rounded to two or three decimal places.

Question 8

What is empirical Probability?

Answer 8

Relies on actual experience to determine the likelihood of outcomes.

Question 9

The probability of any event must fall between what numbers?

Answer 9

0<1

Cannot be greater than 1 and cannot be negative

Question 10

If an event cannot occur, its probability is?

Answer 10

0

Question 11

If an event (E) is certain, then the probability of is E is?

Answer 11

1

Question 12

The sum of all probabilities in the sample space is?

Answer 12

1

Question 13

What is the complement of an event?

Answer 13

set of outcomes in the sample space that are not included in the outcomes of an event (E).
Denoted by E bar

Question 14

Formulas for complimentary events?

Answer 14

P(EBAR)= 1-P(E) OR P(E)=1-P(EBAR) OR P(E) + P(EBAR)=1

Question 15

Formula for empirical probability?

Answer 15

Frequency for the class (f)/ Total frequencies in the distribution (n)

Question 16

What is subjective probability?

Answer 16

uses a probability value based on an educated guess or estimate.