1. The probability that a student takes a statistics course is 0.41. The probability that a student is majoring in life sciences is 0.19. The probability that a person takes a statistics course and is majoring in life sciences is 0.09. What is the probability a person takes a statistics course or majors in life sciences. Give your answer as a decimal, not a percentage, rounded to 2 decimal points. 2. Suppose A is the event a randomly selected person drinks alcoholic beverages. Suppose B is the event that a randomly selected person uses tobacco products. Then are A and B disjoint? a. Disjoint B. Not disjoint C. Cannot be determined 3. The head of a large police department is going to survey a sample of officers. They randomly select 10 officers from each of the city's 30 precincts. What type of sampling method was used? A. A simple random sample B. A systematic sample C. A stratified sample D.A cluster sample 4. The probability a person can successfully complete certain series of difficult tasks is 0.21. Suppose 4 people try to complete the series of tasks. Assuming they are independent, what is the probability that none of the successfully complete the series of difficult tasks? Give your answer as a decimal, not a percentage, rounded to 3 decimal points. 5. A librarian will randomly sample 100 returned books to see if they were returned late or not. They will count the number that were returned late. Assuming the books are independent, is this a binomial setting? Yes, it is binomial. It cannot be determined from the information given. No, it is not binomial. 6. A new medication is developed to decrease muscle cramping in runners. Fifty runners are to be given both the new medication and a placebo for equal time periods. The order in which each subject receives the treatment is randomized, and the subjects do not know which treatment they are getting each time. The subjects are asked to assess the number of instances of cramping they experienced during each period after taking each treatment. The difference in the number of instances of cramping is analyzed. Which of the following is true? This is a matched pairs experiment and does not contain blinding. This is a blocked experiment and does not contain blinding. This is a matched pairs experiment and contains blinding. This is a blocked experiment and contains blinding. 7. A group of pediatricians conducted research on 1,300 high school students. The results showed a strong association between the amount of time spent each day on social media and the emotional well being of the student. Select all of the following that are true: This study could be used to determine causation between the explanatory and response variables because the number of participants is so large. This is a randomized experiment. This is an observational study. This study could not be used to determine causation between the explanatory and response variables because of potential lurking variables. 8. Quarantine has increased the ability of people to read. The probability a person has read more than 5 books in the past year is 0.44. You are going to randomly select 7 people. Assuming they are independent, what is the probability that exactly 2 of them have read more than 5 books in the past year? Round your answer to 3 decimal places. Give your answer as a probability, not a percentage. 9. The probability that a person has heart conditions is 0.511. The probability that a person has diabetes is 0.148. The probability that a person has heart condtions and diabetes is 0.095. Given that a person has heart conditions, what is the probability that they have diabetes? Give your answer as a decimal, not a percentage, rounded to 3 decimal points. 10. A reseacher creates a normal probability model to describe the spending habits ($) of a specific group. The normal model has a mean of $324 with a standard deviation of $32, if an individial is randomly selected from this population calculate the probability that the person spends more than $340. Round your answer to one decimal place and make sure to enter your answer as a percentage. 11. The probability that a person uses TikTok is 0.2. Suppose your randomly select 6 people. Assuming they are independent, what is the probability at least one of them uses TikTok? Give your answer as a probability rounded to 3 decimal points. Do not give as a percentage