New spark plugs have just been installed in a small airplane with a two-cylinder engine. For each spark plug, the probability that it is defective and will fail during its first 20 minutes of flight is 1/1,000, independent of the other spark plugs. (a) What is the probability that none of the two spark plugs will fail during the first 20 minutes of flight? (Round your answer to four decimal places.) (b) What is the probability that at least one of the spark plugs will fail? (Round your answer to four decimal places.)
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.
New spark plugs have just been installed in a small airplane with a two-cylinder engine. For each spark plug, the probability that it is defective and will fail during its first 20 minutes of flight is 1/1,000, independent of the other spark plugs.
(a) What is the probability that none of the two spark plugs will fail during the first 20 minutes of flight? (Round your answer to four decimal places.)
(b) What is the probability that at least one of the spark plugs will fail? (Round your answer to four decimal places.)
Trending now
This is a popular solution!
Step by step
Solved in 2 steps