A research team has developed a face recognition device to match photos in a database. From laboratory tests, the recognition accuracy is 90% and trials are assumed to be independent. (a) If the research team continues to run laboratory tests, what is the mean number of trials until failure? Round your answer to two decimal places (e.g. 98.76). (b) What is the probability that the first failure occurs on the tenth trial? Round your answer to four decimal places (e.g. 98.7654). (c) To improve the recognition algorithm, a chief engineer decides to collect 8 failures. How many trials are expected to be needed? Round your answer to one decimal place (e.g. 98.7). HI