A system is tested for faults once per hour. If there is no fault, none will be detected. If there is a fault, the probability is 0.8 that it will be detected. The tests are independent of one another. a) If there is a fault, what is the probability that it will be detected in 3 hours or less? b) Given that a fault has gone undetected for 2 hours, what is the probability that it will be detected in the next hour? c) What is the mean number of tests that must be conducted in order to detect a fault?
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
A system is tested for faults once per hour. If there is no fault, none will be detected. If there is a fault, the
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 4 images
