A truck has two engines a main one and a backup. The engine component fails only if both engines fail. The probability that the main engine fails is 0.05 and the probability that the backup fails is 0.10. Assume that the main and backup engines operate independently. What is the probability that the engine component fails? Explain your approach to answering this question.
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 truck has two engines a main one and a backup. The engine component fails only if both engines fail. The probability that the main engine fails is 0.05 and the probability that the backup fails is 0.10. Assume that the main and backup engines operate independently. What is the probability that the engine component fails?
Explain your approach to answering this question.
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
