Question

A research team has developed a face recognition device to match photos in a database. From laboratory tests, the recognition accuracy 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

Answer 1

Answer:

a) mean number of trails =1/p=1/(1-0.92)=12.5

b)

probability=(0.92)9*0.08=0.6624

c)

expected number of trails required =6/0.08=75

Step-by-step explanation: