English class, and 57% Find the probability th answer as a decimal, a Find the probabílity th Write your answer as a
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.
![IA a large school, it was found that 69% of students are taking a math class, 75% of student are taking an
English class, and 57% of students are taking both.
Find the probability that a randomly selected student is taking a math class or an English class. Write your
answer as a decimal, and round to 2 decimal places if necessary.
Find the probability that a randomly selected student is taking neither a math class nor an English class.
Write your answer as a decimal, and round to 2 decimal places if necessary.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4b362869-f325-43bb-9c8b-d49f727d3726%2F0b85ee96-8e08-49e0-9dfd-8804cfefc3da%2Fmm7arxsz_processed.jpeg&w=3840&q=75)
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P[randomly selecting a student which happens to be taking math class ]= 0.69
P[randomly selecting a student which happens to be taking English class ]= 0.75
P[randomly selecting a student which happens to be taking both classes]=0.57
P[randomly selecting a student which happens to be taking math or English]=
P[randomly selecting a student which happens to be taking math class]+
P[randomly selecting a student which happens to be taking English class] -
P[randomly selecting a student which happens to be taking both classes]
= 0.69+0.75-0.57=0.87
We have used the formula:
P[A or B]= P[A]+P[B]-P[A and B], where A and B are two events.
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