Question

Two way Frequency table question

Answer 1

Answer: choice A

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Work Shown:

P(TV) = (number who watch tv)/(number total)
P(TV) = 30/100
P(TV) = 0.30

P(Girl) = (number of girls)/(number total)
P(Girl) = 55/100
P(Girl) = 0.55

P(TV)*P(Girl) = 0.30*0.55 = 0.165 which rounds to 0.17
We'll use this value later. So let's call this M = 0.17

Look in the "girl" row and "tv" column. The value 17 is here.
This is out of 100 people total, so
P(TV and Girl) = 17/100 = 0.17
Call this value N = 0.17

Because M = N = 0.17 approximately, this means that the two variables "TV" and "Girl" are approximately independent

So the equation P(TV and Girl) = P(TV)*P(Girl) is approximately true in this example.

This points to choice A being the answer.