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Next Question Classity the events as dependent or independent. Events A and B where P(A)=0.8, P(B)=0.4, and P(A and B) 0.31 O dependent O independent

Next Question Classity the events as dependent or independent. Events A and B where P(A)=0.8, P(B)=0.4, and P(A and B) 0.31 O dependent O independent

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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**Classify the events as dependent or independent.** Events A and B where P(A) = 0.8, P(B) = 0.4, and P(A and B) = 0.31. - ○ dependent - ○ independent In this exercise, you are tasked with determining whether two events, A and B, are dependent or independent based on their probabilities. The probabilities provided are: - P(A) = 0.8 - P(B) = 0.4 - P(A and B) = 0.31 To determine if the events are independent, you would check if P(A and B) equals P(A) * P(B). If they are not equal, the events are dependent.
Transcribed Image Text:**Classify the events as dependent or independent.** Events A and B where P(A) = 0.8, P(B) = 0.4, and P(A and B) = 0.31. - ○ dependent - ○ independent In this exercise, you are tasked with determining whether two events, A and B, are dependent or independent based on their probabilities. The probabilities provided are: - P(A) = 0.8 - P(B) = 0.4 - P(A and B) = 0.31 To determine if the events are independent, you would check if P(A and B) equals P(A) * P(B). If they are not equal, the events are dependent.
The image presents data about a group of students who were asked if they carry a credit card. The responses are organized in a table as follows: | Class | Credit Card Carrier | Not a Credit Card Carrier | Total | |------------|---------------------|---------------------------|-------| | Freshman | 26 | 34 | 60 | | Sophomore | 10 | 30 | 40 | | Total | 36 | 64 | 100 | The task is to find the probability that a randomly selected student is a sophomore and owns a credit card. The probability should be rounded to three decimal places. The answer choices provided are: - A. 0.722 - B. 0.100 - C. 0.278 - D. 0.900 To solve, identify the number of sophomores who own a credit card (10) and divide by the total number of students (100). Probability = 10/100 = 0.100 Thus, the correct answer is **B. 0.100**.
Transcribed Image Text:The image presents data about a group of students who were asked if they carry a credit card. The responses are organized in a table as follows: | Class | Credit Card Carrier | Not a Credit Card Carrier | Total | |------------|---------------------|---------------------------|-------| | Freshman | 26 | 34 | 60 | | Sophomore | 10 | 30 | 40 | | Total | 36 | 64 | 100 | The task is to find the probability that a randomly selected student is a sophomore and owns a credit card. The probability should be rounded to three decimal places. The answer choices provided are: - A. 0.722 - B. 0.100 - C. 0.278 - D. 0.900 To solve, identify the number of sophomores who own a credit card (10) and divide by the total number of students (100). Probability = 10/100 = 0.100 Thus, the correct answer is **B. 0.100**.
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