# Thread: Is this situation independent?

1. ## Is this situation independent?

Suppose that in the human population gene A occurs in 25% of people, gene B occurs in 44% of people, and genes A and B occur together in 11% of people. Are genes A and B independent? Mathematically justify your answer.

Please help me with this problem. The question wants you to decide whether or not the situation is independent by proving:

I understand that P(A) = 25 and P(B) = 44 but I do not know how to get the . Thanks in advance.

2. Originally Posted by krzyrice
Suppose that in the human population gene A occurs in 25% of people, gene B occurs in 44% of people, and genes A and B occur together in 11% of people. Are genes A and B independent? Mathematically justify your answer.

Please help me with this problem. The question wants you to decide whether or not the situation is independent by proving:

I understand that P(A) = 25 and P(B) = 44 but I do not know how to get the . Thanks in advance.
Given data: $\Pr(A) = 0.25, ~ \Pr(B) = 0.44, ~ \Pr(A \cap B) = 0.11$.

Does $\Pr(A \cap B) = \Pr(A) \cdot \Pr(B) ?$

3. You would have to show proof of that they equal each other or not. I do not know how to find . Please show me how to find that.

4. Originally Posted by krzyrice
You would have to show proof of that they equal each other or not. I do not know how to find . Please show me how to find that.
I already told you that you are given that $\Pr(A \cap B) = 0.11$:

Originally Posted by krzyrice
[snip]
A and B occur together in 11% of people
[snip]