NORMAL RANDOM VARIABLE LESSON 1 DAY 1

NORMAL RANDOM VARIABLE

LESSON 1 DAY 1

BY CELESTE P. TERUNEZ​

Open Ended

What is an outcome?

In your life as a student, what outcome/s make you regret that you say “dapat ito ang ginawa ko”.

Activity 2: Tossing a coin

1. In your house get a coin and toss it now!

2. What do you think is the result?

​This result in our experiment is what we call an OUTCOME.

3. Can you identify the result in our experiment?​

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Sample Space	Number of Tails
TT
TH
HT
HH

How about when you toss the coin twice, what are the possible outcome? 

Activity 3: Tossed me twice?

The result of all possible outcome in an experiment is a SAMPLE SPACE.

It has only 2 results, its just a Head or a Tail, thus, S= {H,T}. ​

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A random variable is a set whose elements are the numbers assigned to the outcomes of an experiment.

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It is usually denoted by uppercase letters such as X, whose elements are denoted by lower case letters, x1, x2, x3, and so on.

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There are 2 types of random variable, the first one is countable (discrete) while the other is measurable (continuous). 

Multiple Choice

You want to cook your favorite lumpiang shanghai, the ingredients are listed below. Identify which of the following ingredients can be counted or can be measured. Which of the following CANNOT be counted?

• 2 pcs of carrot

• 1 clove of garlic

• 1 cup of oil

• 2 pcs of onion

Multiple Choice

You want to cook your favorite lumpiang shanghai, the ingredients are listed below. Identify which of the following ingredients can be counted or can be measured. Which of the following is not measurable?

• 1 tbsp of constarch

• 1/4 kilo of Giniling

• 4 pcs of lumpia wrapper

• 1 pinch of pepper

Multiple Choice

If 3 pcs of carrot is an example of a discrete random variable, then what is DISCRETE RANDOM VARIABLE?

• are variables can take on a finite number of distinct values.

• are random variables that take an interminably uncountable number of potential values, regularly measurable amounts.

• s a capacity that connects a real number with every component in the sample space.

• NONE OF THE CHOICES

Types of Random Variable

Discrete Random Variables

are variables can take on a finite number of distinct values. Examples are number of heads acquired while flipping a coin three times, the number of kin an individual has, the number of students present in a study hall at a given time, and so forth.

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Types of Random Variable

Continuous Random Variables

re random variables that take an interminably uncountable number of potential values, regularly measurable amounts. Examples are the height or weight of an individual, the time an individual takes for an individual to wash, time, temperature, item thickness, length, age,

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Examples of Random Variables

Experiment

1. Record the number of hours an specific student use their mobile from 8:00 am to 5:00 pm for the past three nights

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Number X or the Random Variable X

The number of hours an specific student use their mobile from 8:00 am to 5:00 pm

Types of Random Variable

Discrete

Examples of Random Variables

Experiment

Students will prepare for a quiz in Mathematics

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Number X or the Random Variable X

How much time spends reviewing for this quiz

Types of Random Variable

Continuous

Fill in the Blank

Complete the following statements by writing the correct word.

A variable whose value is obtained by counting data is called__________

Fill in the Blank

Complete the following statements by writing the correct word.

A variable whose value is obtained by measuring is called_____________

Fill in the Blank

Complete the following statements by writing the correct word.

A variable that can be discrete or continuous is ______________________

Fill in the Blank

Complete the following statements by writing the correct word.

Time it takes to get to school is an example of ________________________

Fill in the Blank

Complete the following statements by writing the correct word.

Number of heads in flipping coins is an example of ___________________

Multiple Select

Which of the following random variable is countable?

• The time it takes a student to enroll for the first semester with an internet difficulty.

• The amount of gasoline needed to drive your car 300 miles

• Your weight before dinner each night.

• 1he number of COVID-19 fatalities last 2021.

• The number of beads you use in designing your costume.

Multiple Select

Which of the following random variable is measurable?

• The time it takes a student to enroll for the first semester with an internet difficulty.

• The amount of gasoline needed to drive your car 300 miles

• Your weight before dinner each night.

• 1he number of COVID-19 fatalities last 2021.

• The number of beads you use in designing your costume.

Multiple Select

Which of the following are discrete random variables?

• The weights, to the nearest kg, of sack of rice in 10 households in your barangay.

• The heights of a newborn baby in a nursery room.

• The number of stillbirths recorded per year in the Philippines.

• The number of consecutive tails obtained when repeatedly tossing a coin.

• The price, per basket of mangoes, in randomly selected market in Legazpi.

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What other real-life application can you state where we can use the concept of random variable?​

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Multiple Select

Think and Guess

 

What other real-life application can you state where we can use the concept of random variable?

Below are some example. Identify which of the following real life application is an example of a discrete random variable.

• Number of items sold in your clothing business

• Interest rate added to loan

• Number of Car Accidents you have recorded as traffic police officer.

• The number of excess deaths recorded last 2021

• The weight of beef you need to buy to feed 200 malnourished children.

Multiple Select

Think and Guess

 

What other real-life application can you state where we can use the concept of random variable?

Below are some example. Identify which of the following real life application is an example of a continuous random variable.

• The height of insulin plant in your farm.

• The number of defective circuits in a building.

• Number of airplanes taking off and landing every December 25.

• The time it takes for a paracetamol to take effect in one’s body.

• The magnitude of load applies in the roof of a two storey building.

Compare and Contrast

Using Venn Diagram compare and contrast Discrete and Continuous random variable.

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Multiple Choice

1.  What term is referred to a function that associates a real number to each element in the sample space and whose values are determined by chance?

   

 

• Counting variable  

• sample variable  

• Random variable

• Extraneous variable 

Multiple Choice

2. Which of the following random variables is continuous?

• A. The number of defective cellular phones in a box. 

• B. The number of tickets sold for a webinar event.

• C. The number of correct answers in a multiple-choice test.

• D. The time required to finish in painting the walls of the living room.

Multiple Choice

3. From the given data below, which is/are discrete random variable?

i. no. of car accidents  

ii. amount of milk in a cup    

iii. outcome in a roll of die 

 

• A. i only              

•   B. iii only           

• C. i and iii only        

• D. i, ii, iii

Multiple Choice

4. Which of the following is an example of a continuous random variable?

• A. The number of red marbles in a jar.

• B. The amount of rainfall at an airport within a week

• C. The number of passengers in a public utility bus going to Cavite.

• D. The number of students enrolled in a public elementary school year 2018-2019

Multiple Choice

5. Which of the following is countable?

• A. A patient’s body temperature reading in ⁰C.

• B. The time it takes a student to finish answering the summative test.

• C. The weight in kilograms of a Grade 12 student in a random testing.

• D. The number of patients who experience side effects after vaccination.

Look around your kitchen and list examples of discrete (5) and continuous (5) random variable

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Assignment

THANK YOU

CONTINUE WORKING ON YOUR MODULE​

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