Random Variables

Question 1

a process that, when performed, results in one an only one of many observation

Answer 1

Experiment

Question 2

randomly selecting 30 people who consume soft drinks and determining how many people prefer diet soft drink is an example of?

Answer 2

Experiment

Question 3

measuring the time between student arrivals at a school is an example of?

Answer 3

Experiment

Question 4

• observed results of the experiment
• Example:
  
  • roll a six-sided die twice, and record the result of each roll in sequence as an ordered pair. For example, the outcome (3,1) represent a 3 on the first roll and a 1 on the second; this is not the same outcome as (1,3)

Answer 4

Event or Outcome

Question 5

• collection of all the possible outcomes for an experiment
• Example:
  
  • when tossing two coins, the sample space is {(H,H), (H,T), (T,H), (T,T)}
    
    • Rooster Method

Answer 5

Sample Space

Question 6

a variable whose values are determined by chance

Answer 6

Random Variable

Question 7

CATEGORIES OF RANDOM VARIABLES

Answer 7

Discrete Random Variable
Continuous Random Variable

Question 8

a variable can assume only a specific number of values, such as the outcomes for the roll of a die or the outcomes for the toss of a coin

Answer 8

Discrete Random Variable

Question 9

have a finite number of possible values or an infinite number of values that can be counted.

Answer 9

Discrete Variables

Question 10

variables that can assume all values in the interval between any two given values

Answer 10

Continuous Random Variable

Question 11

data of ______________ variable can be obtained by measuring

Answer 11

Continuous Random Variable

Question 12

• Examples:
  
  • the number of joggers in Riverview Park each day
  • the number of phone calls received after a TV commercial airs

Answer 12

Discrete Random Variable

Question 13

• Example:
  
  • if the temperature goes from 20 degree Celsius to 25 degree Celsius in a twenty-four-hour period, it has passed through every possible number from 20 to 25

Answer 13

Continuous Random Variable

Question 14

Example: draw tree diagram showing the possible outcomes of taking two tests

Answer 14

SIMPLE AND COMPOUND EVENT

Question 15

• includes one and only one of the (final) outcomes for an experiment
  
  • Example: E = first one is ”pass” and the other is “fail”

Answer 15

Simple Event (E)

Question 16

• a collection of more than one outcome for an experiment
  
  • Example: A = at most 1 test is “pass” =

Answer 16

Compound Event