Download Test 1 Solved Multiple Choice Questions - Statistics for the Sciences | MATH 3339 and more Exams Statistics in PDF only on Docsity! 10/2/2016 Print Test https://www.casa.uh.edu/CourseWare2008/Root/Pages/CW/Users/Student/Grades/PrintTest.htm 1/7 PRINTABLE VERSION Test 1 You scored 35 out of 56 Question 1 Your answer is CORRECT. The values for Q1 and Q3 for the data set below are Q1=171 and Q3=181. Are there any outliers for this data? If so, what are they? a) There are no outliers. b) The outliers are: c) The outliers are: d) The outliers are: e) The outliers are: Question 2 Your answer is INCORRECT. What can be said about the relationship between the mean and the median for the data represented in the histogram below? [123, 156, 163, 171, 172, 172, 173, 177, 179, 181, 181, 181, 211, 213, 215] [123, 156, 211, 213, 215] [123, 156, 213, 215] 215 123 10/2/2016 Print Test https://www.casa.uh.edu/CourseWare2008/Root/Pages/CW/Users/Student/Grades/PrintTest.htm 2/7 a) The median is less than the mean. b) The mean is less than the median. c) The mean and the median are approximately equal. Question 3 Your answer is CORRECT. Given: P(E) = 0.37, P(F) = 0.51, and P(E ∪ F) = 0.68 Find P(E ∩ F) and P(F | E). a) P(E ∩ F) = 0.20 and P(F | E) = 0.54 b) P(E ∩ F) = 0.19 and P(F | E) = 0.51 c) P(E ∩ F) = 0.81 and P(F | E) = 0.37 d) P(E ∩ F) = 0.32 and P(F | E) = 0.39 e) P(E ∩ F) = 0.80 and P(F | E) = 0.54 Question 4 10/2/2016 Print Test https://www.casa.uh.edu/CourseWare2008/Root/Pages/CW/Users/Student/Grades/PrintTest.htm 5/7 b) 0.0150 c) 0.1598 d) 0.0060 e) 0.8402 f) None of the above. Question 9 Your answer is CORRECT. This is a written question, worth 11 points. DO NOT place the problem code on the answer sheet. A proctor will fill this out after exam submission. Show all steps (work) on your answer sheet for full credit. Problem Code: 962 At a certain gas station, 35% of the customers use regular gas (A1), 40% use plus gas (A2), and 25% use premium gas (A3). Of those customers using regular gas, only 30% fill their tanks completely (event B). Of those customers using plus, 40% fill their tanks completely, whereas of those using premium, 60% fill their tanks completely. Part a: What is the probability that the next customer will request plus gas and fill the tank? Part b: What is the probability that the next customer fills the tank? Part c: If the next customer fills the tank, what is the probability that regular gas was requested? a) I have placed my work and my answer on my answer sheet. b) I want to have points deducted from my test for not working this problem. Question 10 Your answer is CORRECT. This is a written question, worth 11 points. DO NOT place the problem code on the answer sheet. A proctor will fill this out after exam submission. Show all steps (work) on your answer sheet for full credit. Problem Code: 1071 The following table is a joint probability table for X = number of dogs a person owns and Y = number of cats a person owns. Y \ X 0 1 2 3 0 0.20 0.15 0.10 0.05 1 0.12 0.09 0.06 0.03 2 0.04 0.03 0.02 0.01 3 0.04 0.03 0.02 0.01 10/2/2016 Print Test https://www.casa.uh.edu/CourseWare2008/Root/Pages/CW/Users/Student/Grades/PrintTest.htm 6/7 Part a: Compute the marginal pmf's of X and Y, and . Part b: What is the probability that a person owns at least one dog and at least one cat? Part c: Give the conditional probability distribution of the number of dogs a person owns, given they do not own a cat. Part d: Are X and Y independent? Justify your answer. a) I have placed my work and my answer on my answer sheet. b) I want to have points deducted from my test for not working this problem. Question 11 Your answer is CORRECT. This is a written question, worth 11 points. DO NOT place the problem code on the answer sheet. A proctor will fill this out after exam submission. Show all steps (work) on your answer sheet for full credit. Problem Code: 1171 Suppose that 25% of all students in this Math 3339 class will make an A on exam 1. Consider selecting a group of 50 students in this class at random and let X be the number of students in this group that have made an A on exam 1. Part a: Verify that this is a binomial distribution. Part b: What is the probability that between 10 and 12 students inclusive make an A on exam 1? Part c: For what proportion of these students will exactly 4 students make an A on exam 1? Part d: Find the mean and the standard deviation of the random variable X. a) I have placed my work and my answer on my answer sheet. b) I want to have points deducted from my test for not working this problem. Question 12 Your answer is CORRECT. This is a written question, worth 11 points. DO NOT place the problem code on the answer sheet. A proctor will fill this out after exam submission. Show all steps (work) on your answer sheet for full credit. Problem Code: 1261 A distribution of grades in an introductory statistics course (where A = 4, B = 3, etc) is: X 0 1 2 3 4 f(x) f(y) 10/2/2016 Print Test https://www.casa.uh.edu/CourseWare2008/Root/Pages/CW/Users/Student/Grades/PrintTest.htm 7/7 P(X) 0.11 0.18 0.2 0.32 0.19 Part a: Find the probability that a student has passed this class with at least a C (the student's grade is at least a 2). Part b: Find the probability that a student has an A (4) given that he has passed the class with at least a C (2). Part c: Find the expected grade in this class. Part d: Find the variance and standard deviation for the class grades. BONUS: Suppose a student knows he/she has passed the course with a C, what should they expect their grade to be? a) I have placed my work and my answer on my answer sheet. b) I want to have points deducted from my test for not working this problem.