A survey of 500 students taking one or more courses in different subjects during one semester revealed the following numbers of students in the indicated subjects. Algebra - 329 Algebra and Physics - 83 Physics - 186 Algebra and Statistics - 217 Statistics – 295 Physics and Statistics - 63 All three subjects – 27 If a student is selected at random, find the probability that: a) the student is not taking Algebra; b) the student is taking Statistics but not Physics and Algebra c) the student is taking Statistics and Algebra but not Physics d) the student is not taking any of the three subjects.
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 survey of 500 students taking one or more courses in different subjects during one semester revealed the following numbers of students in the indicated subjects.
Algebra - 329 Algebra and Physics - 83
Physics - 186 Algebra and Statistics - 217
Statistics – 295 Physics and Statistics - 63
All three subjects – 27
If a student is selected at random, find the probability that:
- a) the student is not taking Algebra;
- b) the student is taking Statistics but not Physics and Algebra
- c) the student is taking Statistics and Algebra but not Physics
- d) the student is not taking any of the three subjects.
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