Illustrating and Calculating the Mean and Varianceof Discrete Random VariableRead and analyze the situation given below:Mr. Cresente Umali, a Mathematics teacher, regularly gives aformative assessment composed 5 multiple choice items. After theassessment, he used to check the probability distribution of the correctresponses and the data is presented below.Test Item ProbabilityP(X)0.030.050.1230.3040.280.22Based on the data above, observe, analyze and answer the followingquestions:1. Is the probability of x lies between O and 172. What is the sum of all probabilities of x?3. Is there a negative probability? Is it possible to have a negative probability?yes4. What is the average or mean of the probabilities of discrete randomvariable?5. What are the variance and the standard deviation of the probabilitydistribution from the data abave?llAnalysisThis time, you need to reflect on the following aquestions because it willhelp you to understand the appropriate way on illustrating and calculating themean, variance and standard deviation of a discrete random variable, Answer thefollowing questions:1. How did you find the given activity?2. Were you able to get the correct answer for each question? if yes, VeryGood! If not, which question/s you find difficult?3. What mathematical skills help you to answer all 5 questions?4. Do you think the concepts that you will acquire in thie mndule would ba目helpful to solve real-life problems?Abstraction

Name: Illustrating and Calculating the Mean and Varianceof Discrete Random
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Description: Illustrating and Calculating the Mean and Varianceof Discrete Random VariableRead and analyze the situation given below:Mr. Cresente Umali, a Mathematics teacher, regularly gives aformative assessment composed 5 multiple choice items. After theasses

1) is the probability of x lies between 0 and 1? x can take only discrete values and therefore…

Answered: Test Item Probability. p(X) 0.03 0.05

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Test Item Probability. p(X) 0.03 0.05

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Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

Topic Video

Question

Illustrating and Calculating the Mean and Variance
of Discrete Random Variable
Read and analyze the situation given below:
Mr. Cresente Umali, a Mathematics teacher, regularly gives a
formative assessment composed 5 multiple choice items. After the
assessment, he used to check the probability distribution of the correct
responses and the data is presented below.
Test Item Probability
P(X)
0.03
0.05
0.12
3
0.30
4
0.28
0.22
Based on the data above, observe, analyze and answer the following
questions:
1. Is the probability of x lies between O and 17
2. What is the sum of all probabilities of x?
3. Is there a negative probability? Is it possible to have a negative probability?
yes
4. What is the average or mean of the probabilities of discrete random
variable?
5. What are the variance and the standard deviation of the probability
distribution from the data abave?
ll
Analysis
This time, you need to reflect on the following aquestions because it will
help you to understand the appropriate way on illustrating and calculating the
mean, variance and standard deviation of a discrete random variable, Answer the
following questions:
1. How did you find the given activity?
2. Were you able to get the correct answer for each question? if yes, Very
Good! If not, which question/s you find difficult?
3. What mathematical skills help you to answer all 5 questions?
4. Do you think the concepts that you will acquire in thie mndule would ba
目
helpful to solve real-life problems?
Abstraction

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