Gr 11 Math Ch 10: Contingency Tables

What is the primary purpose of a two-way contingency table?

To compute probabilities of multiple events

To test for independence between events (correct)

To graph the distribution of a single variable

To calculate the mean of a dataset

What is the formula for calculating the probability of an event A?

P(A) = n(A) / n(Total) (correct)

P(A) = n(A) / n(B)

P(A) = n(Total) / n(A)

P(A) = n(B) / n(A)

What is the formula for calculating the conditional probability of A given B?

P(A|B) = n(B) / n(A)

P(A|B) = n(A and B) / n(B) (correct)

P(A|B) = n(A) / n(A and B)

P(A|B) = n(A) / n(B)

What is the condition for independence between two events A and B?

P(A and B) = P(A) × P(B) Signup and view all the answers

In a two-way contingency table, what do the rows represent?

One event and its complement Signup and view all the answers

What is the primary advantage of using a two-way contingency table?

It enables the visualization of the relationship between two categorical variables Signup and view all the answers

What is the purpose of marginal totals in a two-way contingency table?

To provide a summary of the row and column totals Signup and view all the answers

What is the probability of event A if n(A) = 20, n(Total) = 100, and n(A and B) = 5?

1/10 Signup and view all the answers

If two events A and B are independent, which of the following is true?

P(A|B) = P(B|A) Signup and view all the answers

What information is needed to calculate the probability of event A and event B?

n(A and B) and n(Total) Signup and view all the answers

What is an advantage of using a two-way contingency table to analyze data?

It provides a visual representation of the data Signup and view all the answers

If P(A) = 1/2 and P(B) = 1/3, what is the probability of A and B if they are independent?

1/6 Signup and view all the answers

A company conducted a survey to determine the relationship between the age of a customer and the type of product they purchase. The results are shown in the table below. If the sample space consists of 200 customers, what is the probability that a customer is between 25 and 34 years old given that they purchased Product A?

1/4 Signup and view all the answers

A researcher is interested in determining the probability that a student will pass both Math and English exams. The results are shown in the table below. Which of the following is true if the probability of passing Math is 0.6 and the probability of passing English is 0.7?

The probability of passing both Math and English is at least 0.4 Signup and view all the answers

A study showed that 40% of the participants in a survey were males who smoke, and 20% were females who smoke. If the sample space consists of 100 participants, what is the probability that a participant is a male given that they smoke?

2/3 Signup and view all the answers

A company conducts a survey to determine the relationship between the type of car owned and the level of education. The results are shown in the table below. Which of the following statements is true if the probability of owning a car is 0.8 and the probability of having a college degree is 0.6?

The probability of owning a car and having a college degree is at least 0.4 Signup and view all the answers

A researcher conducts a study to determine the relationship between the type of music listened to and the age of the listener. The results are shown in the table below. If the sample space consists of 150 participants, what is the probability that a participant is under 25 years old given that they listen to Rock music?

2/5 Signup and view all the answers

A company conducts a survey to determine the relationship between the type of job and the level of education. The results are shown in the table below. If the probability of having a college degree is 0.5 and the probability of having a high school diploma is 0.3, what is the probability that a person has a college degree and a managerial job if they are independent?

0.15 Signup and view all the answers

Gr 11 Math Ch 10: Contingency Tables

Questions and Answers