Which of the following is true a Sunny and Rainy are disjoint and independent

Which of the following is true a sunny and rainy are

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9. Which of the following is true? (a) “Sunny” and “Rainy” are disjoint and independent events. (b) “Sunny” and “Rainy” are disjoint and dependent events. (c) “Sunny” and “Rainy” are not disjoint but are independent events. (d) “Sunny” and “Rainy” are not disjoint and are dependent events. Suppose students’ exam scores are normally distributed with mean µ = 65 and standard deviation σ = 10. 15. What proportion of the students taking the test score between 35 and 75? (a) 0.5 (b) 0.81 (c) 0.84 (d) 0.95 (e) 0.99 16. What proportion of the students taking the test score at most 80? (a) 0.07 (b) 0.93 (c) 0.14 (d) 0.95 (e) 0.99 17. What is the 50th percentile for this distribution? (a) 60 (b) 50 (c) 65 (d) 10 (e) 55 A sample of size 36 is selected from a population with mean of 100 and standard deviation of 12. Answer the following questions: 25. What is the distribution of the sample mean X? (a) binomial (b) approximately normal (c) cowabunga (d) none of these 26. What is the mean of the distribution of the sample mean X? (a) 14 (b) 100 (c) 36 (d) 1.4 27. What is the standard deviation of the distribution of the sample mean X? (a) 1.2 (b) 12 (c) 2 (d) 1/3 (e) 3 28. What is the approximate probability that the sample mean X is between 97.6 and 102.4? (a) 68.27% (b) 0.9545 (c) 0.1585 (d) 1 (e) 0.7699 18. What is the 95th percentile for this distribution? (a) 90 (b) 81.45 (c) 116.9 (d) 10 (e) 95 ACME Insurance knows 30% of drivers are super safe, 50% of drivers are moderately safe, and the remaining 20% are risky. The company also knows 5% of super safe drivers will have an accident this year, 10% of moderately safe drivers will have an accident this year, and 30% of risky drivers will have an accident this year. 34. What is the probability that a randomly chosen driver will be in an accident this year? (a) 0.125 (b) 0.15 (c) 0.45 (d) .50 (e) 1.00 35. If a motorist was in an accident this year, what is the probability s/he is a risky driver? (a) 0.06 (b) 0.20 (c) 0.30 (d) 0.32 (e) 0.48
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