Question

The probability that a machine does not produce a defective object during a particular shift is 0.85. What is the complement of the event that a machine does not produce a defective item during that particular shift and what is the probability of that complementary event?

Answer 1

Let E be the event that a machine does not produce a defective object during a particular shift.

Then we are given

P(E) = 0.85

The compliment of the event that a machine does not produce a defective item during that particular shift is the event that a machine does produce a defective item during that particular shift. It is represented by E' or E^c

Now

P(E^c) = 1 - P(E)

= 1 - 0.85

= 0.15

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