For the event described below, which of the following represents the complement of the event? A sample of 491 software DVDs was selected. Exactly 42 of these were defective.
A) Exactly 449 DVDs were not defective.
B) No more than 42 DVDs were defective.
C) The number of defective DVDs was not equal to 42.
D) Exactly 42 DVDs were not defective.

Question

Quizplus · Accepted Answer

The complement of the event "exactly 42 DVDs were defective" would be the event that "the number of defective DVDs was not equal to 42." Option A represents the number of DVDs that were not defective, but does not necessarily represent the complement of the event. Option B is not the complement because it includes the possibility of having exactly 42 defective DVDs. Option D is not the complement because it specifies exactly 42 DVDs being not defective, which is the same as the original event. Therefore, the best choice is C.

For the Event Described Below, Which of the Following Represents