Question

1. Migraine headaches affect 17% of adult women, whereas only 6% of adult men suffer migraines. A certain engineering class has 35 women and 97 men. A student in the class is authorized to write a special exam because of a debilitating migraine just before the final. Assuming that the overall incidence rates of 17% and 6% apply to women and men in the class, what is the chance that the student was female? A) 6%                                (B) 17%                                  (C) 27%                                  (D) 49%                                  (E) 51%

Answer 1

Total persons = 35 + 97 = 132

Hence,

From Baye's theorem:

P(Female | Migraine)

= 0.505

= 51%

Option E is correct.