Question

There are on average 0.001 safety incidents occurring per 500 ft. of depth drilled in a well.

a. What is the probability of at least one safety incident occurring over the course of drilling 8000 ft?"There are on average 0.001 safety incidents occurring per 500 ft. of depth drilled in a well.
a. What is the probability of at least one safety incident occurring over the course of drilling 8000 ft?"

Answer 1

To find the probability of at least one safety incident occurring over the course of drilling 8000 ft, calculate the probability of no safety incidents and subtract it from 1.

Step-by-step explanation:

To find the probability of at least one safety incident occurring over the course of drilling 8000 ft, we need to first calculate the probability of no safety incidents.

The probability of no safety incidents occurring in a 500 ft depth is 1 - 0.001 = 0.999. Since each 500 ft is independent of the others, the probability of no safety incidents occurring over the course of drilling 8000 ft is (0.999)^16 = 0.98409.

Therefore, the probability of at least one safety incident occurring over the course of drilling 8000 ft is 1 - 0.98409 = 0.01591, or 1.591%.