Suppose that 623 students were selected at random from a student body of 10,000 and given the covid vaccine. All 623 students were exposed to covid, and a total of 444 did not get covid after the shot. Let p represent the probability that the vaccine will be successful for a student selected at random from the population of 10,000 students. a. What is the number of trials? b. What is the value of r? c. What is the estimate of success? d. What is the estimate of failures? e. Calculate if the number if trials is large enough for the binomial to be a normal approximation. f. Find the 95% confidence interval for success. g. Interpret the results for the question context