Determine the written description of the complement of the given event. When 13 computers are shipped , at least one of them is defective. A. None of them are defective B. None of them are free of defects C. More than one of them are free of defects D. All of them are defective

Question

Mathematics

Kayley Cabrera

7 October, 07:37

Determine the written description of the complement of the given event. When 13 computers are shipped , at least one of them is defective. A. None of them are defective B. None of them are free of defects C. More than one of them are free of defects D. All of them are defective

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Answers (1)

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Victor Randolph · Answer 1

A. None of them are defective

True that's equivalent since none defective means 0 defective

Step-by-step explanation:

For this case we have a total of 13 computers and we define the event:

E = "At least one of them is defective"

When we say at last one means that can be 1,2,3,4,5,6,7,8,9,10,11,12 or 13

The complement for this case is E' = "None of them is defective"

Let's analyze one by one the possible options:

A. None of them are defective

True that's equivalent since none defective means 0 defective

B. None of them are free of defects

False thats note equivalent since that means all have defects and that's not the complement.

C. More than one of them are free of defects

False we are interested on the complement and on this case 1 or more defective is not the complement for this case.

D. All of them are defective

False the complement is defined as non of them defective and for this case is not the correct way.