Create and submit an R script which, when run, will print the answers to the following questions

Create and submit an R script which, when run, will print the answers to the following questions. Your R script must include a title with your name and student number and comments for each question number. You must complete this assessment individually. 1. (14 marks) Researchers studied airplane crashes and determined that 5.2% of the time the pilot died. A sample of 8400 airplane crashes was taken. a. Check that no and no are both greater than 10. (2 marks) b. Find the standard deviation of the sampling distribution of the proportion. (1 mark) c. What is the probability that 425 or fewer pilots will die? (2 marks) d. What is the probability that more than 500 pilots die? (2 marks) e. What is the probability that between 400 and 465 pilots will die? (4 marks) f. Determine the 10" percentile for the proportion of pilot deaths. Report your answer as a NUMBER of pilots. (3 marks) 2. (5 marks) Case Study 2 Check Point Statista reports that Canadians access the news 59%% = 0.59 of the time. You have recorded personalized data throughout the semester. Let the sample size n be the number of days that you collected data. Find the sample proportion of the number of days that you watched the news. What is the probability of getting a value less than or equal to your sample proportion given that the population proportion is 0.597 (NOTE: you do not have to check the conditions on this applied activity, but you must check the conditions of the CLT on Case Study 2).

The answers should be in R programming code.