Age	Preference

19	Brand B

18	Brand A

23	Brand B

18	Brand A

17	Brand B

24	Brand A

23	Brand A

19	Brand A

22	Brand B

20	Brand A

16	Brand B

17	Brand A

20	Brand A

23	Brand B

22	Brand A

19	Brand A

23	Brand A

16	Brand A

20	Brand B

20	Brand A

16	Brand A

18	Brand A

18	Brand B

19	Brand A

21	Brand A

18	Brand A

20	Brand B

20	Brand B

18	Brand B

24	Brand B

19	Brand B

22	Brand B

22	Brand A

18	Brand A

20	Brand A

22	Brand B

19	Brand A

24	Brand B

20	Brand B

17	Brand B

19	Brand B

17	Brand A

19	Brand B

23	Brand B

18	Brand B

18	Brand B

24	Brand B

20	Brand B

24	Brand B

16	Brand A

19	Brand A

20	Brand A

18	Brand B

22	Brand A

23	Brand A

18	Brand B

24	Brand A

21	Brand A

23	Brand B

24	Brand A

19	Brand A

22	Brand A

20	Brand A

22	Brand B

21	Brand B

21	Brand B

21	Brand B

22	Brand B

18	Brand A

23	Brand B

20	Brand B

20	Brand A

19	Brand A

24	Brand B

23	Brand B

20	Brand B

20	Brand B

17	Brand A

18	Brand A

21	Brand B

17	Brand B

22	Brand B

20	Brand B

18	Brand B

21	Brand B

22	Brand B

19	Brand A

23	Brand A

18	Brand A

18	Brand B

22	Brand A

20	Brand B

21	Brand A

22	Brand A

17	Brand B

18	Brand A

22	Brand A

21	Brand B

21	Brand A  A selection of​ soft-drink users is asked to taste the two disguised soft drinks and indicate which they prefer. The accompanying data contains the results of a simulated challenge on a college campus. a. Determine the probability that a randomly chosen student prefers Brand A.

​P(Brand 

​A)equals=enter your response here

​(Round to three decimal places as​ needed.)

To determine the probability that a randomly chosen student prefers Brand A, we use the formula:

\[
P(\text{Brand A}) = \frac{\text{Number of students who prefer Brand A}}{\text{Total number of students}}
\]

### Step 1: Count the number of students who prefer Brand A  
We count the occurrences of "Brand A" in the given data.

### Step 2: Count the total number of students  
We count all the entries in the dataset.

I'll now compute these values. Given data: List of preferences
preferences = [
    "B", "A", "B", "A", "B", "A", "A", "A", "B", "A",
    "B", "A", "A", "B", "A", "A", "A", "A", "B", "A",
    "A", "A", "B", "A", "A", "A", "B", "B", "B", "B",
    "B", "B", "A", "A", "A", "B", "A", "B", "B", "B",
    "B", "A", "B", "B", "B", "B", "B", "B", "B", "B",
    "A", "A", "A", "B", "A", "A", "B", "A", "A", "B",
    "A", "A", "A", "B", "B", "B", "B", "B", "A", "B",
    "B", "A", "A", "B", "B", "B", "B", "A", "A", "B",
    "B", "B", "B", "B", "A", "A", "A", "B", "A", "A",
    "A", "B", "A", "A", "A", "B", "A", "A", "B", "A"
]

# Compute probabilities
total_students = len(preferences)
brand_A_count = preferences.count("A")
prob_brand_A = brand_A_count / total_students

# Round to three decimal places
prob_brand_A = round(prob_brand_A, 3)
prob_brand_AThe probability that a randomly chosen student prefers Brand A is **0.500** (rounded to three decimal places).

Would you like further analysis or a breakdown of preferences by age group?

Here are five related questions to explore further:
1. What is the probability of a student preferring Brand B?
2. What is the most common age group that prefers Brand A?
3. Is there a significant preference difference between younger and older students?
4. How does the preference for Brand A compare across different age ranges?
5. What is the overall distribution of preferences in the dataset?

**Tip:** When dealing with probabilities, always ensure your total count is accurate before computing ratios!

A selection of soft-drink users is asked to taste the two disguised soft drinks and indicate which they prefer. The accompanying data contains the results of a simulated challenge on a college campus. Determine the probability that a randomly chosen student prefers Brand A.

Determine the probability that a randomly chosen student prefers Brand A in a soft drink preference survey. This problem involves basic probability concepts, statistical data analysis, and frequency calculation. Suitable for students in Grades 9-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation