Lesson 2 Inclass: Distinguishing Between A Discrete and Cont

Lesson 2: Distinguishing Between A Discrete and Cont

​

What is a random variable?

What is the most random thing happened to you?

Random Variable

A Random Variable is a function that associates a real number with each element in the sample space. It is a variable whose values are determined by chance.

Multiple Choice

In Algebra, when we have $3=x+2$  , the value of x is 1. 

Is x a random variable?

• YES!

• NO!

No it was NOT a random variable because x has a definite value which is 1.

Eyes on the board for more examples.

REVIEW

Please list the sample space on the following.

Multiple Choice

(1)

Flipping a coin

• S=[Heads, Tail]

• S={Heads, Tail}

• Heads, Tail

Multiple Choice

(2)

Rolling a die

• 1,2,3,4,5,6

• {1,2,3,4,5,6}

• S={1,2,3,4,5,6}

Open Ended

(3)

Rolling a die and tossing a coin simultaneously

Rolling a die and tossing a coin

S = {1T, 2T, 3T, 4T, 5T, 6T, 1H, 2H, 3H, 4H, 5H, 6H}

How do we distinguish between Discrete and Continuous random variable?

anyone?

Discrete Random Variable

• a random variable whose values represented by count data.

• when the set of possible outcomes from an experiment can be counted

• number of household in a barangay

• the number of female students

Continuous Random Variable

• a random variable that takes values on a continuous scale.

• when the set of possible outcomes from an experiment cannot be counted but can be measured

• height of Grade 11 students

• temperature inside the classroom

RAPID TEST

Determine whether the following variables are discrete or continuous.

Multiple Choice

the speed of a tricycle

• Discrete

• Continuous

Multiple Choice

the number of female students

• Discrete

• Continuous

Multiple Choice

the time needed to finish the module

• Discrete

• Continuous

Multiple Choice

the amount of sugar in a cup of coffee

• Discrete

• Continuous

Multiple Choice

The number of defective mobile phones produced by a manufacturer

• Discrete

• Continuous

Congrats!

Independent Activity

I will be showing a google map street view of the different places around Cebu City and I want you to write anything Discrete or Continuous random variables relating on the map. Write AS MANY AS YOU CAN

Please get a paper and a pen.

Group Work

Please go to our google site and go to "LESSON 2: GROUPWORK"

To summarize:

• The term "variable" is different in Algebra and in Statistics

• A Random Variable is a function that associates a real number with each element in the sample space. It is a variable whose values are determined by chance.

• Random Variable is a numerical quantity that is derived from the outcomes of a random experiment. 

• A discrete random variable is a random variable whose values represented by count data.

• A continuous random variable is a random variable that takes values on a continuous scale and can be measured.

TAKE YOUR ASSESSMENT

Please go to google site.