Question

37) If N = 200, which of the options match the ultimate
class frequencies, given that there are two independent
attributes A = 100, B = 140?
D
A) 60
B) 70
C) 80
D) 90


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Answer 1

The correct answer is option (A) 60.

Explanation:

• If N = 200, 60 is the option which match the ultimate class frequencies, given that there are two independent attributes A = 100, B = 140.
• The two attributes are said to be independent only if the two attributes are absolutely or completely uncorrelated with each other.
• As, 200 - 140 = 60.
• Thus, the correct answer is 60.

Answer 2

Given:

• N = 200
• A = 100
• B = 140

To Find:

• The ultimate class frequencies.

Solution:

It is given that A and B are independent attributes.

We have the formula to find the ultimate class frequencies for independent attributes under the theory of attribute which is given by,

(AB) = {(A) × (B)}/N → {equation 1}

On substituting the given values in equation 1 we get,

⇒ (AB) = {100×140}/200

Perform multiplication operation on the numerator and divide the obtained value by the denominator in the above formula. We get,

⇒ (AB) = 14000/200 = 70

∴ The ultimate class frequncies = 70 (option B).