Hello, I'm reviewing this exam for my next exam in Econ 221 and I wanted to make sure if my calculations and answers were good for those problems. Thank You!

Question 2 [It] marks}: The following summary...r measures are about examination scores of ECGNIE] students. mean = tit}, standard deviation = 1&5, Q: = 53, Q3 = til a. (2 marks} Use Chehyshev's theorem to determine the minimum percentage of students scoring between 49.5 and Tj. b. (2 marks} Use Chehyshev's theorem to determine the minimum percentage of students scoring between 39 and 31. c. (2 marks} Use the empirical rule and the denition of the quartiles to calculate the percentage of students scoring between 49.5 and 53. d. (2 marks} Use the empirical rule and the denition of the quartiles to calculate the percentage of students scoring between 6? and 31. e. (2 marks} m explain what assumptions are needed to use the emprirical rule but are not assumed when using Chehyshev's theorem. Question 5 (10 marks): The table below contains the opinions of a sample of 400 people broken down by gender about a new immigration bill. For Neutral Against Female 76 108 24 Male 24 72 96 a. (2 marks) Given that a reandomly selected person is for the bill, calculate the probability that she is a female. b. (2 marks) Given that a reandomly selected person is a male, calculate the probability that he is for the bill. W urce Hero .co c. (2 marks) Given that a reandomly selected person is a female,, calculate the probability that she is either neutral or against the bill. dy rest Cours d. (2 marks) Calculate the probability that a randomly selected person is a female and against the bill. This S red e. (2 marks) Calculate the probability that a randomly selected person is a female who is either neutral or against the bill. SQuestion 7 (4 marks): In a set of 10 items coming out of a manufacturing process, two items are defective (D), and the remaining eight are good (G). A quality control inspector randomly selects three of the ten items without replacement, and classifies each as defective or good. a. (2 marks) Calculate the probability that the first selected item is good. ce was seHero.com burd b. (2 marks) Calculate the probability that at least two items are good. tudy Col