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SIMON, JADE MONICA G. BSIT-CMPT 3 B Exercise 3. (This is Applying the Concepts 5-1 in the reading material) Use the table below to answer the following questions: Reason for dropping a college course 1. Too difficult 2. Illness 3. Change in work schedule 4. Change of major 5. Family-related problems 6. Money 7. Miscellaneous 8. No meaningful reason Frequency Percentage 45 31.25 % 40 27.78 % 20 13.89 % 14 9. 72 % 9 6.25 % 7 4.86 % 6 4.17 % 3 2. 08% 1. What is the variable under study? Is it a random variable? The random variable under study is the reason for dropping a college course. 2. How many people were in the study? There was a total of 144 people in the study. 3. Complete the table. 4. From the information given, what is the probability that a student will drop a class due to a. Illness? 28 % The probability that a student will drop a class because of illness is about 28 %. b. Money? 5 % The probability that a student will drop a class because of money is about 5 %. c. Change of major? 10% The probability that a student will drop a class because of a change of major is about 10 %. 5. Would you consider the information in the table to be a probability distribution? No, the probabilities are not listed. 6. Are the categories mutually exclusive? The categories are not necessarily mutually exclusive. 7. Are the categories independent? The categories are not independent. 8. Are the categories exhaustive? The categories are exhaustive. 9. Are the 2 requirements for a discrete probability met? Since all the probabilities are between 0 and 1, inclusive, and the probabilities sum to 1, the requirements for discrete probability distribution are met.