Section 4.1 12. Determine if the random variable x is discrete or continuous. Explain the reason for your answer. x is the time required for workers at a factory to complete a task. Instructions for Problems 13-17. Use Table 2 to answer the questions. The table shows frequency distribution for the number of school-related extracurricular activities per student. Round answers to three decimal places. Table 2. Extracurricular Activities Activities Students 0 24 1 33 2 46 3 57 4 63 5 36 6 20 7 14 13. Use the frequency distribution in Table 2 to create a probability distribution. 14. What is the mean of the probability distribution? 15. What is the variance of the probability distribution? 16. What is the standard deviation of the probability distribution? 17. Interpret the results in the context of the real-life situation described in Table 2. (Note: For help with the interpretation, refer to similar worked examples in section 4.1.)