Please use R to solve this:

Question 2 A study was conducted on GRE test takers to evaluate the success conditions. The success rate is 25%. A sample of 30 test takers is selected for the study. Use the binomial distribution to calculate the followings: a. The probability that 10 test takers fail the GRE test: #INSERT YOUR ANSWER HERE b. The probability of getting at least ve test takers succeed in the test #INSER'I' YOUR ANSWER HERE c. The probability of 25 or less fail the test #INSERT YOUR ANSWER HERE Question 3 In a shipment of 20 engines, history shows that the probability of any one engine proving unsatisfactory is 0.1 a. Use the Binomial approximation to calculate the probability that more than 10 engines are defective? #INSERT YOUR ANSWER HERE b. Use the Poisson approximation to calculate the probability that at most three engines are defective? #INSERT YOUR ANSWER HERE c. Use the binomial approximation to calculate the probability that at most three engines are defective? #INSERT YOUR ANSWER HERE d. Compare the results of parts b and c, then illustrate on how well the Poisson probability distribution approximates the Binomial probability distribution. #INSERT YOUR ANSWER HERE