Sure, let’s break down the steps of the solution to understand the proportion of students who tried out for a sport.
1. Understand the Given Information:
- We are given four strings of random numbers: 52644, 52348, 82462, 66233.
- We interpret digits 0-3 to represent students who tried out for a sport and digits 4-9 to represent students who did not try out for a sport.
2. Count the Digits Representing Students Who Tried Out for a Sport:
- Look at each number and convert them into digits.
- For each digit, check if it falls in the range 0-3.
- Count how many such digits are there.
3. Calculation:
- For the number 52644, the digits are 5, 2, 6, 4, 4. Among these, the only digit that represents a student who tried out for a sport is 2.
- For the number 52348, the digits are 5, 2, 3, 4, 8. The digits 2 and 3 represent students who tried out for a sport.
- For the number 82462, the digits are 8, 2, 4, 6, 2. The digits 2, and 2 represent students who tried out for a sport.
- For the number 66233, the digits are 6, 6, 2, 3, 3. The digits 2, 3, and 3 represent students who tried out for a sport.
Here is the count for each:
- Number 52644: 1 digit (2)
- Number 52348: 2 digits (2, 3)
- Number 82462: 2 digits (2, 2)
- Number 66233: 3 digits (2, 3, 3)
Total count of digits representing students who tried out for a sport: 1 + 2 + 2 + 3 = 8.
4. Determine the Total Number of Digits:
- Each random number is a 5-digit number.
- There are 4 such numbers.
- Total number of digits: 5 digits/number * 4 numbers = 20 digits.
5. Calculate the Proportion:
- The proportion of students who tried out for a sport = (Number of digits that represent students who tried out for a sport) / (Total number of digits).
- Proportion = 8 / 20 = 0.40.
Therefore, based on this simulation, the proportion of students who tried out for a sport is 0.40.
