During an inspection, if 5 out of 112 safety functions had a dangerous failure, what is the probability of dangerous failure?

During an inspection, if 5 out of 112 safety functions had a dangerous failure, what is the probability of dangerous failure?

• A. 0.05
• B. 0.045
• C. 0.043
• D. 0.0112

Answer: (B)

To determine the probability of dangerous failure, you can use the formula: Probability of Dangerous Failure = Number of Dangerous Failures / Total Number of Safety Functions. In this scenario, there are 5 dangerous failures out of a total of 112 safety functions. Plugging these values into the formula gives: Probability of Dangerous Failure = 5 / 112. Calculating this fraction yields approximately 0.04464. When rounding this to three decimal places, it results in about 0.045. Thus, the most appropriate answer that aligns with this calculation is the second choice, which indicates that the probability of dangerous failure is approximately 0.045.

To determine the probability of dangerous failure, you can use the formula:

Probability of Dangerous Failure = Number of Dangerous Failures / Total Number of Safety Functions.

In this scenario, there are 5 dangerous failures out of a total of 112 safety functions. Plugging these values into the formula gives:

Probability of Dangerous Failure = 5 / 112.

Calculating this fraction yields approximately 0.04464. When rounding this to three decimal places, it results in about 0.045.

Thus, the most appropriate answer that aligns with this calculation is the second choice, which indicates that the probability of dangerous failure is approximately 0.045.