Answer:
0.513 = 51.3% probability of being a female.
Step-by-step explanation:
We are given the following formula:
[tex]P(F \cup C) = P(F) + P(C) - P(F \cap C)[/tex]
In which:
Event F: Female
Event C: Red-green color blindness.
Probability of a Female
We have to find P(F), which is given by:
[tex]P(F) = P(F \cup C) + P(F \cap C) - P(C)[/tex]
We are given by:
[tex]P(C) = 0.039, P(F \cap C) = 0.004, P(F \cup C) = 0.548[/tex]
So
[tex]P(F) = P(F \cup C) + P(F \cap C) - P(C) = 0.548 + 0.004 - 0.039 = 0.513[/tex]
0.513 = 51.3% probability of being a female.