this is statistics course and I need help with answering these questions. I attached formulas in case you can use it as a reference.Thank you.

II. Probability PM U B) = PM) + P(B] Pull n B) m = Lag?) Var-(X) = 0% = 2m 11:39-19: If X has a binomial distribution with parameters :1 and p, then: P(X = k) = (:)pt(1_ 13)": \"3:74!\" If E la the mean ofa random sample ofsize n from an innite population with mean p and standard deviation 0', then: T 0' \"i=7: III. Inferential Statistics Standardized test statistic: statistic - parameter standard deviation of statistic Confidence interval: statistic + (critical value) . (standard deviation of statistic) Single-Sample Statistic Standard Deviation of Statistic Sample Mean Sample Proportion p(1 - p) n Two-Sample Statistic Standard Deviation of Statistic Difference of sample means n2 Special case when 0 =02 Difference of P (1 - PI) + P2 (1 - P2) sample proportions n 1 n2 Special case when P = P2\frandomly choose 20 students from each building. D Question 45 1 pts A second group of AP Statistics students must conduct a similar survey of 60 students using a cluster sample, with the three school buildings as clusters. Describe how they should select this sample. O Stand by the door of each building and survey 20 volunteers at each building. O Stand by the door of one building and ask every 5th student that walks by. Assign each student a number and randomly choose 15 students from each grade level. Assign each student a number and randomly choose 15 students from each building. O Assign each student a number and randomly choose 20 students from each building.D DIRECTIONS: Use the following information to answer questions 44 and 45. A group of AP Statistics students have been tasked to determine the mean amount of time students at their high school study per week. There are roughly an equal number of students in each grade level (freshman, sophomore, junior, senior). The school is divided up into three buildings of equal size. Assume that all four grade levels are represented equally in each building of the school. D Question 44 1 pts A group of AP Statistics students has been told to conduct a survey of 60 students using a stratified sample, with the strata being grade level. Describe how they should select this sample. O Stand by the door of each building and ask the first 20 students walking in to each building. Stand by the door of one building and ask the first 60 students walking in to the building. Assign each student a number and randomly choose 15 students from each grade level to ask. Assign each student a number and randomly choose 20 students from each grade level to ask. O Assign each student a number and randomly choose 20 students from each building.Question 41 1 pts Height (in inches) and weight (in pounds) in a sample of college freshmen have a linear relationship with the following summary statistics: 68.4 y 141.6 SI 4.0 Sy 9.6 r 0.73 Source: OpenStax, Introductory Statistics. OpenStax CNX Download for free at http://cnx. org/contents/30189442-6998-4686-ac05-ed15269169de@ 18.10 . Determine the linear regression equation and use it to predict the weight of a randomly selected college freshman that is 70 inches tall. O y = 21.76 + 1.75x; 152.5 pounds O y = 21.76 + 1.75x; 144.3 pounds O y = 21.76 + 1.75x; 100.7 pounds O y = 15.71 - 1.75x; 152.5 pounds O y = 15.71 - 1.75x; 144.3 pounds