A population of GMU Comp Sci students is segregated by primary area of study and further segregated by preference for Java vs. C++: • 3/8 are taking Intro. Courses, 40% of them prefer Java • 1/8 are taking Info. Security, 56% of them prefer Java • 1/4 are taking Info. Systems, 48% of them prefer Java • 1/4 are taking Software Engineering, 52% of them prefer Java Note: 3/8+1/8+1/4+1/4 = 1. (a) What is the probability that a Comp Sci student chosen at random prefers Java? (b) If a Comp Sci student chosen at random prefers Java, what is the probability that he is taking an Intro Course?
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.
(13) A population of GMU Comp Sci students is segregated by primary
area of study and further segregated by preference for Java vs. C++:
• 3/8 are taking Intro. Courses, 40% of them prefer Java
• 1/8 are taking Info. Security, 56% of them prefer Java
• 1/4 are taking Info. Systems, 48% of them prefer Java
• 1/4 are taking Software Engineering, 52% of them prefer Java
Note: 3/8+1/8+1/4+1/4 = 1.
(a) What is the probability that a Comp Sci student chosen at random
prefers Java?
(b) If a Comp Sci student chosen at random prefers Java, what is the
probability that he is taking an Intro Course?
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