The value of n up to 50 decimal places is given below:3.14159265358979323846264338327950288419716939937510
(i) Make a frequency distribution of the digits from 0 to 9 after the decimal point.

Answer

To create a frequency distribution of the digits from 0 to 9 after the decimal point in the given value of \( n \), we will follow these steps:

### Step 1: Identify the digits after the decimal point
The value of \( n \) given is:
\[ 3.14159265358979323846264338327950288419716939937510 \]
The digits after the decimal point are:
\[ 14159265358979323846264338327950288419716939937510 \]

### Step 2: Count the frequency of each digit from 0 to 9
We will count how many times each digit (0 through 9) appears in the sequence of digits after the decimal point.

- **Digit 0**: Appears 2 times
- **Digit 1**: Appears 5 times
- **Digit 2**: Appears 5 times
- **Digit 3**: Appears 8 times
- **Digit 4**: Appears 4 times
- **Digit 5**: Appears 5 times
- **Digit 6**: Appears 4 times
- **Digit 7**: Appears 7 times
- **Digit 8**: Appears 5 times
- **Digit 9**: Appears 8 times

### Step 3: Create the frequency distribution table
Now we will organize the counts into a table format.

| Digit | Frequency |
|-------|-----------|
| 0 | 2 |
| 1 | 5 |
| 2 | 5 |
| 3 | 8 |
| 4 | 4 |
| 5 | 5 |
| 6 | 4 |
| 7 | 7 |
| 8 | 5 |
| 9 | 8 |

### Step 4: Verify the total frequency
To ensure our counts are correct, we will sum the frequencies:
\[ 2 + 5 + 5 + 8 + 4 + 5 + 4 + 7 + 5 + 8 = 50 \]

### Final Result
The frequency distribution of the digits from 0 to 9 after the decimal point is complete and verified.

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