Question

a sample of 100 glass batteries was selected. find the complements of the following events.
part 1 of 4
(a) more than 56 of the batteries were defective.
the complement is:

part 2 of 4
(b) at least 56 of the batteries were defective.
the complement is:
select one:
at most 56
at most 55
at most 54

Explanation:

Step1: Recall complement definition

The complement of an event A consists of all outcomes that are not in A.

Step2: Analyze "More than 56 of the batteries were defective"

The complement of "more than 56" is "56 or less". So the complement is "56 or less of the batteries were defective".

Step3: Analyze "At least 16 of the batteries were defective"

"At least 16" means 16 or more. The complement is "less than 16", which can be stated as "At most 15 of the batteries were defective".

Answer:

Part 1: 56 or less of the batteries were defective.
Part 2: At most 15 of the batteries were defective.