A group of students were asked if they carry a credit card. The responses are listed in the table. Class Credit Card Carrier Not a Credit Card Carrier Total Freshman Sophomore Total If a student is selected at random, find the probability that he or she is a sophomore and owns a credit card. Round your answers to three decimal places. 0 0 0 0 OA. B. OC. OD. 0.519 0.481 0.675 0.140 13 14 27 47 26 73 60 40 100 (...)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
A group of students were asked if they carry a credit card. The responses are listed in the table.

| Class       | Credit Card Carrier | Not a Credit Card Carrier | Total |
|-------------|---------------------|---------------------------|-------|
| Freshman    | 13                  | 47                        | 60    |
| Sophomore   | 14                  | 26                        | 40    |
| Total       | 27                  | 73                        | 100   |

If a student is selected at random, find the probability that he or she is a sophomore and owns a credit card. Round your answers to three decimal places.

- A. 0.519
- B. 0.481
- C. 0.675
- D. 0.140

**Explanation:**

The table presents a breakdown of students by class (Freshman and Sophomore) and whether they carry a credit card. The total number of students surveyed is 100. Out of these, 14 sophomores carry a credit card. To find the probability that a randomly selected student is a sophomore with a credit card, use the formula:

\[ \text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \frac{14}{100} = 0.140 \]

Therefore, the correct option is D. 0.140.
Transcribed Image Text:A group of students were asked if they carry a credit card. The responses are listed in the table. | Class | Credit Card Carrier | Not a Credit Card Carrier | Total | |-------------|---------------------|---------------------------|-------| | Freshman | 13 | 47 | 60 | | Sophomore | 14 | 26 | 40 | | Total | 27 | 73 | 100 | If a student is selected at random, find the probability that he or she is a sophomore and owns a credit card. Round your answers to three decimal places. - A. 0.519 - B. 0.481 - C. 0.675 - D. 0.140 **Explanation:** The table presents a breakdown of students by class (Freshman and Sophomore) and whether they carry a credit card. The total number of students surveyed is 100. Out of these, 14 sophomores carry a credit card. To find the probability that a randomly selected student is a sophomore with a credit card, use the formula: \[ \text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \frac{14}{100} = 0.140 \] Therefore, the correct option is D. 0.140.
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman