# Math 330

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- Brigham Young University-Idaho
- Applied Math And Engineering
- Applied Math And Engineering Math330
- Cameron
- Math 330

**Created:**2017-01-10

**Last Modified:**2017-01-10

Sample space

the set of all possible outcomes of an experiment

example: for tossing a coin we can use heads and tails

for rolling a six sided die we can use 1,2, 3, 4, 5, 6

Event

subset of a sample space

example: if a die comes up 2, the event 2,4,6 and 1,2,3 have both occurred

Union

is denoted A u B

it belongs to either a or b or both

Intersection

denoted A n B

is the set of outcome that belong to both A and B

Complement

denoted^{ }A^{c}

is the set of outcomes that do not belong to A

Mutually Exclusive

Probability

is the proportion of times the event would occur in the long run, if the experiment were to be repeated over and over again

denoted: P

The Axioms Of Probability

First Axiom

says that the outcome of an experiment is always in the sample space

Second Axioms

says that the long-run frequency of any event is always between 0 and 100%

Third Axiom

that the probability that the pin is either too short or too long is .02 +.03=.05

that the probability that an event does not occur is equal to 1 minus the probability that it does occur

that it is impossible for an experiment to have no outcome

Data Collection

gather a good representative sample of the population. while in practice the data collection process for these three calculations isn't always the same, for practical reasons, it will be assumed to be

The five steps of Data Collection

1. identity

2. Types of Study

3. Design the Data Collection

4.Gather Data

5. Organize

Steps in Identity

A)Units of population example: tomatoes

B)Variables

C) Type of Variables

I. quantitative

II. categorical

Types of Study

A) observational... we just watch

B) experimental... where we manipulate the variables

What is S.A.S

Simple Random Sample

two ways to ruin randomness

1)the researcher

2) the random person

does the size of the sample have anything to do with the size of the calculation

No, because of the law of large numbers

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