Question

The probability is 0.6 that a calibration of a transducer in an electronic instrument conforms to specifications for the measurement system. Assume the calibration attempts are independent. What is the probability that at most three calibration attempts are required to meet the specifications for the measurement system?

Answer 1

This fair seems like 3 autonomous occasions to me. At the end of the day, you do the adjustment and, on the off chance that it doesn't meet details, you do it once more. On the off chance that regardless it doesn't meet details, you do it a third time. At that point you quit, I figure, and attempt to make sense of why you can't get the darn thing right.
In this way, in any case, you have a .6 possibility of getting the alignment right and a .4 chance you have to rehash it. The solution to your question is the likelihood you don't have three sequential disappointments, which is beneath:
1 - .4 x .4 x .4 = 1 - .064, or 93.6%