Asked by Nicholas Felix on Jul 19, 2024
Verified
In a business class,40% of the students have never taken a statistics class,15% have taken only one semester of statistics,and the rest have taken two or more semesters of statistics.The professor randomly assigns students to groups of three to work on a project for the course.What is the probability that the first group mate you meet has studied two or more semesters of statistics?
A) 0.55
B) 0.85
C) 0.15
D) 0.45
E) 0.60
Statistics Class
An educational course focused on the study and application of statistical methods and analysis.
Probability
Estimating the chances of an event manifesting.
Business Class
A class of airline service that provides enhanced amenities, greater seat comfort, and higher levels of service than economy class.
- Comprehend fundamental principles and calculations in probability.
- Assess the effect of distinct traits or variables on the likelihood of outcomes.
- Utilize the principles of probability theory in practical scenarios, including surveys, gaming activities, and patterns of consumer spending.
Verified Answer
SB
Shauna BohrenJul 20, 2024
Final Answer :
D
Explanation :
Let's assume there are 100 students in the business class.
40 students have never taken a statistics class.
15 students have taken only one semester of statistics.
So, the remaining students are 100 - 40 - 15 = 45.
Therefore, 45 students have taken two or more semesters of statistics.
Now, when the professor randomly assigns groups of three, the first person you meet can be any of the 100 students with equal probability.
Out of the 100 students, 45 have taken two or more semesters of statistics. Therefore, the probability that the first person you meet has studied two or more semesters of statistics is 45/100 or 0.45.
Hence, the answer is D.
40 students have never taken a statistics class.
15 students have taken only one semester of statistics.
So, the remaining students are 100 - 40 - 15 = 45.
Therefore, 45 students have taken two or more semesters of statistics.
Now, when the professor randomly assigns groups of three, the first person you meet can be any of the 100 students with equal probability.
Out of the 100 students, 45 have taken two or more semesters of statistics. Therefore, the probability that the first person you meet has studied two or more semesters of statistics is 45/100 or 0.45.
Hence, the answer is D.
Learning Objectives
- Comprehend fundamental principles and calculations in probability.
- Assess the effect of distinct traits or variables on the likelihood of outcomes.
- Utilize the principles of probability theory in practical scenarios, including surveys, gaming activities, and patterns of consumer spending.