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16000 students appeared in TY BCom examination the ratio of number of boys and girls is 3:5 in it. number of passed students exceeded the number of failed student by 8000. girls failing in the examination are 2400. find the coefficient of association between student and success. This question is from the chapter of association of attributes.?
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16000 students appeared in TY BCom examination the ratio of number of ...
**Given Information:**

- Total number of students appeared in TY BCom examination = 16000
- Ratio of number of boys to girls = 3:5
- Number of passed students exceeds the number of failed students by 8000
- Number of girls failing in the examination = 2400

**To Find:**
- Coefficient of association between student and success

**Solution:**

**Step 1: Calculate the number of boys and girls**

Let the number of boys be 3x and the number of girls be 5x. According to the given ratio,

3x + 5x = 16000

8x = 16000

x = 2000

So, the number of boys = 3 * 2000 = 6000

And the number of girls = 5 * 2000 = 10000

**Step 2: Calculate the number of passed and failed students**

Let the number of passed students be P and the number of failed students be F. According to the given information,

P - F = 8000 ...(1)

Also, the total number of students is equal to the sum of passed and failed students,

P + F = 16000 ...(2)

By solving equations (1) and (2), we get

2P = 24000

P = 12000

Substituting the value of P in equation (2), we get

12000 + F = 16000

F = 4000

So, the number of passed students = 12000 and the number of failed students = 4000

**Step 3: Calculate the number of girls failing**

Given that the number of girls failing in the examination = 2400

So, the number of boys failing = 4000 - 2400 = 1600

**Step 4: Calculate the coefficient of association**

The coefficient of association between two attributes is given by the formula:

Coefficient of Association = (Number of students with both attributes - Expected value) / sqrt(Expected value)

Here, the two attributes are "student" and "success".

Number of students with both attributes = Number of passed students = 12000

Expected value = (Total number of students / Total number of attributes) * (Total number of attributes with the first attribute / Total number of students)

Expected value = (16000 / 2) * (12000 / 16000)

Expected value = 6000

Substituting the values in the formula, we get

Coefficient of Association = (12000 - 6000) / sqrt(6000)

Coefficient of Association = 6000 / sqrt(6000)

Using a calculator, we find that the coefficient of association is approximately 43.30.

Therefore, the coefficient of association between student and success is approximately 43.30.
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16000 students appeared in TY BCom examination the ratio of number of ...
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16000 students appeared in TY BCom examination the ratio of number of boys and girls is 3:5 in it. number of passed students exceeded the number of failed student by 8000. girls failing in the examination are 2400. find the coefficient of association between student and success. This question is from the chapter of association of attributes.?
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