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MOST ESSENTIAL LEARNING COMPETENCIES Finds the possible values of a random variable. (MH/12SP-IIIa-3) OBJECTIVE/S Write the possible values of a given random variable. Example:Two balls are drawn In succession without replacement from an urn containing 5 red balls and 6 blue balls. Let Z be the random variable representing the number of blue balls. Find the values of the random variable Z. Complete the table below. Possible Outcomes Value of the random variable Z Red Red (number of blue balls) Red Blue Blue Red Blue Blue Therefore, the possible values of the random variable Z are 0, 1 and 2. Suppose 3 cellphones are tested at random. Find out the number of defective cellphones that occur. Let D represent the defective cellphone and N the non-defective cellphone. If X will be the random variable representing the number of defective cellphones, can you show the values of the random variable X. Complete the table below to show the values of the random variable. Possible Outcomes Value of the Random Variable X (number of defective cellphones) WHAT I CAN DO Make a table to write all the possible values of each given random variable below: 1. X: Number of slightly used computers in a room with 10 units of computers 2. Y: Number of black pens in a box with 10 pieces of red, blue and black pens 1. Mrs. Cruz recorded the scores of her students in a 20-item test. If we will let X as the scores of students, what are the possible values of random variable X? B. X=10,1, 2, 3, 4, 5, 6, 7,8,9,10) A. X=(0, 1, 2, 3, 4, 5) D. X= { all real numbers from 0 to 20) C. X= { 0,1, 2, 3, 4, 5, 6, 7,8,9,10; 2. You decide to conduct a survey of families with two children. You are interested in counting the number of boys (out of 2 children) in each family. Is this a random variable, and if it is, what are all its possible values? A. Yes, it is a random variable, and its values can be 1 and 2. B. Yes, it is a random variable, and its values can be 0, 1 and 2. C. Yes, it is a random variable, and its values can be 2 or 4. D. No, it is not a random variable