Answer the following questions base on the picture below.

What's More Independent Activity 1 A. Determine whether the distribution represents a probability distribution or not. Explain your answer. X 5 7 P(X) 2 X 0 2 3 4 6 P(X] 3 X 3 5 7 P(X) 0.35 0.25 0.22 0.12 4. P(1)=0.42, P(2)=0.31, P(3)=0.37 5. P(1)= _. P(2)= = , P(3)= = B. Determine whether the following can serve as the probability distribution of a random variable X. 1. P(X)= = for x= 1,2,3........7 2. P(X]= for x= 1,2,3,4,5What's In Recall that a variable is an attribute that can assume different values. We use letters to denote or represent a variable. In this lesson, we shall discuss variables that are resulted from an experiment by chance, called random variables. 26 To find out if you are ready to learn this new lesson, try to determine whether each of the following experiments/ situations involved discrete or a continuous random variable. 1. Choosing an even number less than 100. 2. Tallying the number of households in a subdivision that has a least one vehicle. 3. Gathering information about the average monthly income of a household. 4. Teacher applicants in the Division of Quezon. 5. Recording the number of patients who recovered from COVID-19.What's More Independent Activity 1: Study and analyze The number of shoes sold per day at a retail store is shown in the table below. Illustrate the mean, variance, and standard deviation of this distribution. X 19 20 21 22 23 P(X)|0.4 0.2 0.2 0.1 0.1Now. it's your turn. Suppose three laptops are tested at random. We want to find out the number oi" non-defective laptops. Thus. to each outcome in the sample space we shall assign a value. These are D. l. 2. or 3. If there is no defective laptop. we assign the number 0: if there is 1 non-defective laptop. we assign the number 1: if there are two non- dei'eetive laptops. we assign the number 2 and 3. if there are three non- dei'eetive laptops. The number of non-defective laptops is a random variable. Let D represents the defective laptop and N represents the non-defective laptop. li'we let X be the random variable representing the number of nonwdei'eetive laptops. show the values of the random variable x. Complete the table below to show the values of the random variable. lfllue of the Random tremble I ACTIVITY # 2 1. Speed of a sneeze in spreading germs 9. The volume of a gasoline in a Honda Beat motorcycle 2. Length of the virus that causes COVID 19 last on surfaces 10. Number of motorists who gas up for the whole month 3. Distance to avoid contacts with droplets 11. Distance travelled with a full - tank SUV 4. Number of ways a virus may be transmitted 12. Length of time between motorists in a 5. Number of pushups you can do in 5 gasoline station minutes 13. Time before the class ends 6. Amount of calories burnt after an 14. Time spent in submitting an exercise asynchronous activity 7. Steps for a 15 - minute walk 15. Total time of tardiness in a first period class. 8. Days in a week you exercise 16. Number of days you have online classes Me, Myself, and I 17 19. I am 150 cm tall. I weigh 56 kilograms. 18. 20. I have two My foot measures wonderful sons. 9 inches.So, the possible values of the random variable X are 0, 1, and 2. What's More Independent Activity 1. Understanding Possible Values of Random Variables. Answer the following questions. 1. How do you find the values of a random variable? 2. How is this variable, as described in Algebra, similar to a random variable? How do they differ