The Earth’s atmosphere is continuously bombarded with objects (meteorites) from space, and some of those objects reach the surface of the Earth. Meteor enthusiasts and scientists search for and collect samples that are suspected of being meteorites, and run tests to verify their origin. After testing, the samples are labelled as Extraterrestrial, Terrestrial, or Unverified. For each category (Extraterrestrial, Terrestrial, and Unverified) respectively, 34%, 47%, and 23% of the samples are formed of metal; whereas 42%, 33%, and 58% are made of stone. The remaining samples are formed of mixed materials. It is known that Extraterrestrial, Terrestrial, and Unverified samples are distributed in a ratio of 1:12:7. If a particular sample was separately
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.
The Earth’s atmosphere is continuously bombarded with objects (meteorites) from space, and some of those objects reach the surface of the Earth. Meteor enthusiasts and scientists search for and collect samples that are suspected of being meteorites, and run tests to verify their origin. After testing, the samples are labelled as Extraterrestrial, Terrestrial, or Unverified. For each category (Extraterrestrial, Terrestrial, and Unverified) respectively, 34%, 47%, and 23% of the samples are formed of metal; whereas 42%, 33%, and 58% are made of stone. The remaining samples are formed of mixed materials. It is known that Extraterrestrial, Terrestrial, and Unverified samples are distributed in a ratio of 1:12:7. If a particular sample was separately tested seven times, and was found to be made of stone in four of the tests, what is the
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