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Deepen At this point, you are going to apply what you have learn about the random variables. You are expected to solve problems regarding finding the value of a random variable and applying properties of probability distribution. What you need: A piece of paper/Bond Paper Ballpen or any writing material What you must do: Read and analyze the problem below. After reading, answer the question that follows. You will be scored based on the give rubrics found at the end of the module. Problem: Kate is a boutique shop owner in her town. Due to COVID-19 pandemic, wearing a facemask of a person is required for their safety. Since there are limited stocks available, she decided to start another business by making a face mask. She started selling a face mask from day 1 to day 10. The data she collected is shown in the table below: Day Number of Face Mask (X) Guide: X P(X) 1 25 10 2 2 20 10 12 15 10 14 14 15 UUUU 15 20 10 25 12 This is a sample. Complete this by writing the value of X, then counting how 10 many X (example: 15, there are 3 out of 15 the 10 days) in P(X). 10 14 What to find: Illustrate a probability distribution of a random variable X showing the number of face mask sold per day and its corresponding probabilities. Also, check the two properties of the probability distribution.Jumpstart Activity 1: FIND ME! Directions: Determine the value of the given random variable using the probability distribution below. Write your answer on any sheet of paper. Z 2 4 6 8 10 12 14 16 P(Z) 0.07 0.23 0.09 0.06 0.14 0.12 0.28 0.01 Find: a. P(8) = C. P(2) + P(10) = e. P(Z S 6) = b. P(14) = d. P(4) + P(10) = _ f. P(8