Question

In: Statistics and Probability

What is the complement of event "At least 3 engines fail" (Hint: "at least 3 engines...

What is the complement of event "At least 3 engines fail" (Hint: "at least 3 engines fail" is equivalent to "at most 1 engine work")

  • A. At least 1 engines work
  • B. At most 1 engines work
  • C. At least 2 engines work
  • D. At most 2 engines work

Solutions

Expert Solution

We are given the at least 3 engines fail is equivalent to at most 1 engine work.

So complement event of at most 1engine work is at least 2 engines work.

So complement event of at least 3 engines fail is equivalent to at most 2 engine work

Option C) is correct.


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