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\fD Question 9 1 pts Two sisters are debating about the probability of winning and losing when playing the game rock- paper-scissors. The sisters have played 50 rounds of which Jannette has won 20 times, Annette has won 20 times and the have tied the other 10 times. Annette claims that the probability of tying in this game is 10/50 or 20%. Which of these is the best way for Jannette to determine whether her sister is right or wrong? Set up a computer simulation to run 1000 trials because after a large enough number of trials, the empirical probabilities will converge to the theoretical probabilities. Set up a computer simulation to run 1000 trials because after a large enough number of trials the empirical and theoretical probabilities will be different enough to distinguish from each other. Ask two friends to replicate Jannette and Annette's results by playing 50 rounds of their own and recording and combining the results with her own to make 100 rounds in total. O Set up a computer simulation to run 50 trials then compare their empirical data to the theoretical results of the computer. O Ask two friends to perform 50 trials then combine the results with against their own empirical results to determine whose results were closer to the theoretical probabilities. WD Question 2 1 pts The 2016 Texas Rangers baseball players have a salary average of $1,200,000 with a standard deviation of $80,000. The 2016 San Francisco Giants baseball players have a salary average of $1,700,000 with a standard deviation of $120,000. A Texas Rangers player with a salary of $890,000 would have the same standardized salary (z-score) as a San Francisco Giants player whose salary is equal to which of the following? O $6,350,000 O $2,165,000 1,910,000 O $1,493,000 O $1,235,000 DIRECTIONS: Use the following information to answer questions 3-7.D Question 1 1 pts The distribution of the diameters of a particular variety of apples is approximately normal with a standard deviation of 0.3 inches. How does the diameter of an apple at the 67th percentile compare with the mean diameter? 0.201 inches below the mean O 0.150 inches below the mean O 0.150 inches above the mean 0.201 inches above the mean O 0.440 inches above the mean Question 2 1 pts The 2016 Texas Rangers baseball players have a salary average of $1,200,000 whh a standard deviation of $80,000. The 2016 San Francisco Giants baseball players have a salary average of