\fSection 4.1 11. True or False? The variable v is assigned for velocity measurements Then uvalues would be considered to be discrete data. Problems 12-16. Use the probabilrty distribution in Table 2 to answer the questions Round answers to 3 decimal places Table 2. Probability distribution r. l] 1 2 3 4 5 6 7 P(.'c) 0.095 0115 0136 0145 0148 0.157 0.125 0 079 12. What is the mean of the probability distribution? 13. What is the variance of the probability distribution? 14. What is the standard deviation olthe probability distribution? 15. What is the expected value ofthe probabilitydistribution? 16. Interpret the results. (Note: Follow example of interpretations in the worked examples ) Section 4.2 Problems 17-19. Answer the questions A binomial distribution has n : 264 and p : 0.58 Round answers to 3 decimal places. 17. What is the mean of the binomial distribution? 13. What is the variance ofthe binomial dlSUlbUTlOl'l" 19. What is the standard deviation olthe binomial distribution? Problems 20-22. Answer the questions. 10 students are randomly selected from a math course. You are told there is a 84% chance of successfully completing the course Round answers to 3 deCImal places. 20. What is the probability that exactly four students successfully complete the course? 21. What is the probability that at least 6 students successfully complete the course? 22. What is the probability that less than 6 students successfully complete the course? Problems 23-25. Eighteen percent of students say they are unhappy With student lunches. You randomly select 25 students and ask If they are happy with their lunches. (Hint: Review the binomcd) function on the TlB3/E4.) Round answers to 3 deCimal places. 23. What is the probability that exactly 8 students say they are happy With their lunches? 24. What is the probability that more than 6 students say they are happy with their lunches? 25. What is the probability that between 4 and 7 (inclusive) students say they are happy with their lunches