A research team has developed a face recognition device to match photos in a database. From laboratory tests, the recognition ac
curacy is 92% 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?
(b) What is the probability that the first failure occurs on the tenth trial? Round your answer to four decimal places.
(c) To improve the recognition algorithm, a chief engineer decides to collect 6 failures. How many trials are expected to be needed? Round your answer to one decimal place
First we need to find the distance for the first segment using the formula for distance . Let's say is (0, 0) and is (33, 56). This gets us that the length of this segment is 65 miles.
Next, we need to find the distance for the second segment. Using the same formula for distance , we can say is now (33, 56) and is now (23, 32). This gets us that the length of this segment is 26 miles.
To get the total distance traveled, add the length of these two segments together (65 miles + 26 miles) to get 91 total miles traveled.