To solve the problem, we need to calculate the probability that the malfunction caused by other human errors came from Station C.

Information from the table:

• Malfunctions caused by other human errors:
  • Station A: 7
  • Station B: 7
  • Station C: 5
• Total malfunctions caused by other human errors = $7 + 7 + 5 = 19$.

Formula for Probability:

The probability is calculated as: $P(\text{Station C | Other Human Errors}) = \frac{\text{Number of malfunctions caused by other human errors at Station C}}{\text{Total malfunctions caused by other human errors}}$

Substitution:

$P(\text{Station C | Other Human Errors}) = \frac{5}{19}$

Simplified Probability:

$P(\text{Station C | Other Human Errors}) = 0.263 (approx)$

Final Answer:

The probability that the malfunction caused by other human errors came from Station C is approximately 0.263 or 26.3%.

Let me know if you want a detailed breakdown of this explanation!

Here are 5 related questions to expand your understanding:

1. What is the probability of a malfunction caused by computer errors being from Station B?
2. How can you calculate the total probability for all causes across stations?
3. What assumptions are made in these calculations?
4. How would the probability change if the malfunction data were weighted differently?
5. How does this scenario relate to conditional probability in general?

Tip: Always sum the total of specific events to ensure your