You have 77% confidence in a procedure. What is the probability that this procedure will not produce an acceptable result?

c07.p059.q003

Question

You have  77% confidence in a procedure. What is the probability that this procedure will not produce an acceptable result?

c07.p059.q003

BlackTom AI · Accepted Answer

The problem gives a confidence level of 77% for the procedure, which is the probability that it will produce an acceptable result. To find the probability that it will not produce an acceptable result, we need the complement of this event.

Step 1: Identify the probability of the favorable event. P(acceptable) = 0.77. 
Step 2: Use the complement rule, which states that the probability of the opposite event is 1 minus the probability of the event. P(not acceptable) = 1 – P(acceptable).
Step 3: Compute the complement. P(not acceptable) = 1 – 0.77 = 0.23.

Thus, the probability that the procedure will not produce an acceptable result is 0.23.

If you prefer a percentage form, this is 23%. Keep in mind this is a straightforward application of the complement rule for probabilities.

BTRY3010/BTRY5010/STSCI2200/STSCI5200 Lecture #20 ( 92 - 93, 99 - 101 )

You have 77% confidence in a procedure. What is the probability that this procedure will not produce an acceptable result? c07.p059.q003

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