A birth is selected at random. Define events B = {the baby is a boy} and F = {the mother had the flu during her pregnancy}. The events B and F are
A) disjoint but not independent.
B) independent but not disjoint.
C) disjoint and independent.
D) neither disjoint nor independent.

Question

Quizplus · Accepted Answer

Events B and F are independent because the gender of the baby (boy or girl) is not influenced by whether the mother had the flu during her pregnancy. They are not disjoint because being a boy and the mother having had the flu are not mutually exclusive events; both can occur at the same time.

A Birth Is Selected at Random