Statistics and Probability

A

1

It is a part of the population.

Sample

2

Find the area that matches below z= 2.36

0.9909

Below a positive z score: Area + 0.50

3

Consider a deck of cards. Supposed that you draw 1 card, what is the probability that the card that you will pick is a face card?

- A deck of cards consists of 52 cards.
- 3 types of face cards: Jack, Queen, and King
- Each face cards consists of: Heart, Spade, Clover, and Diamond
- Formula for probability:

      number of the desired outcome
P = _________________________
           total number of outcomes

Answer: 12/52 or 3/13

4

Find the area under the standard normal distribution curve between -0.72 to 1.43

0.6878

Between a negative and a positive: Add area together

5

It is a variable whose values are determined by chance.

Random Variable

B

1

Find the area that matches below z= -0.89

0.1867

Less than a negative: Look up the area in the table and subtract from 0.5

2

The probability of each value of the random variable must be _____________

between or equal to 0 and 1

3

Find the area that matches to z= 1.25

0.3944

4

These are variables that have values that represent a counted measure quantity.

Numerical or Quantitative Variable

5

Find the area under the standard normal distribution curve between -2.54 to 0.54.

0.6999

Between a negative and a positive: Add area together

C

1

Name the 2 types of numerical or quantitative variables.

Discrete and Continuous

2

Find the area under the standard normal distribution curve between 0.56 to 2

0.0366

Between two positives: Look up both areas in the table and subtract the smaller from the larger.

3

It refers to every member of the group.

Population

4

Find the area under the standard normal distribution curve between -0.43 to -1.65

0.2841

Between two negative: Look up both areas in the table and subtract the smaller from the larger.

5

It tells you what percentage of your data falls within a certain number of standard deviations from the mean.

Empirical Rule

D

1

Find the area that matches to z = 2.43

0.4925

2

Give 2 categorical or qualitative variables.

Nominal, Ordinal, Binary or Ratio

3

Find the area that matches below z= 1.96

0.9750

Below a positive z score: Area + 0.50

4

It is a continuous probability distribution wherein values lie in a symmetrical fashion mostly situated around the mean.

Normal Distribution

5

Find the area under the standard normal distribution curve to the right of 0.23

0.4090

Greater than a positive: Look up the area in the table and subtract from 0.5

E

1

The sum of the probabilities of all values of the random variable must be ________

equal to 1

2

Find the area under the standard normal distribution curve between -2.03 to -0.65

0.2367

Between two negative: Look up both areas in the table and subtract the smaller from the larger.

3

It consists of the values of the random variable can assume and the corresponding probabilities of the values. 

Discrete Probability Distribution or the Probability Mass Function

4

Find the area under the standard normal distribution curve between 1 to 1.25

0.0530

etween two positives: Look up both areas in the table and subtract the smaller from the larger.

5

These are variables that take category as their values.

Categorical or Qualitative Variable