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8. Consider the series 8.(a). (3 points) Use the Remainder Estimate for the Integral Test to find an upper bound for the error in using $10 (the 10th partial sum) to approximate the sum of this series.1. Please calculate summary statistics for an oil well's daily production, in barrels. 214, 203, 226, 198, 243, 225, 207, 203, 208 a. Mean b. Median c. Standard Deviation d. 90% confidence interval around the mean5b. What kind of random variable is Y? What is/are the parameter(s)? Grade this question? Yes No BONUS (OPTIONAL). Consider n families, each consisting of 1 father, 1 mother, and 1 child. The 3n people sit in a circle. A family is happy if all 3 members of the family are sitting in consecutive seats. Find the variance of the number of families that are happy.9. Determine whether the series is convergent or divergent and circle the corresponding answer. Then write the test allows one to determine convergence or divergence 9.(a). (3 points) 1=11.(b). (5 points) Write the integral for the volume of the solid of revolution obtained by rotating this region about the line x = 3. Do not evaluate the integral.10 points 1. Consider the region bounded by the graphs of f(x) = x2 + 1 and g(x) = 3-x2. 1.(a). (5 points) Write the integral for the volume of the solid of revolution obtained by rotating this region about the x-axis. Do not evaluate the integral.5. A tank contains 200 L of salt water with a concentration of 4 g/L. Salt water with a concentration of 3 g/L is being pumped into the tank 5 at the rate of 8 L/ min, and the tank is being emptied at the rate of 8 L/min. Assume the contents of the tank are being mixed thoroughly 10 points and continuously. Let S() be the amount of salt (measured in grams) in the tank at time ( measured in minutes). 5.(a). (1 points) What is the amount of salt in the tank at time / = (