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\fO 0.83 D Question 47 1 pts Consider the distribution of weights of all the busses, including small and large busses. What is the mean of this distribution? 13,000 pounds O 28,000 pounds 30,989 pounds O 43,000 pounds 559,000 poundsDIRECTIONS: Use the following information to answer questions 46 and 47. A certain manufacturer produces school buses for various school districts. Buses come in two varieties: a smaller bus with only 8 rows of seats, and a large bus with 15 rows of seats. Assume that: . the distribution of weights of a fully-loaded small bus is approximately normally distributed with a mean of 15,000 pounds and a standard deviation of 1,276 pounds. . the distribution of weights of a fully-loaded large bus is approximately normally distributed with a mean of 28,000 pounds and a standard deviation of 2,989 pounds. D Question 46 1 pts What is the probability that a randomly selected large bus weighs more than 30,000 pounds? O 0.17 O 0.25 O 0.50 O 0.75 O 0.83D Question 21 1 pts A researcher with the U.S. Forest Service is conducting a longitudinal study of the biodiversity of tree species. She selects three forests currently monitored by USFS in each of 6 regions across the United States. Every five years, field technicians will catalog the number of different mature tree species in each of the eighteen forests. They will also take an approximate count of the number of individuals within each of the species in the forest bio-community. Which of the following best describes the method of data collection being used? O A cluster sample A Simple Random Sample (SRS) A census A randomized experiment O An observational study