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...

Extracted text: 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