Math Problem Statement
solve the question
Solution
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 = .
Formula for Probability:
The probability is calculated as:
Substitution:
Simplified Probability:
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:
- What is the probability of a malfunction caused by computer errors being from Station B?
- How can you calculate the total probability for all causes across stations?
- What assumptions are made in these calculations?
- How would the probability change if the malfunction data were weighted differently?
- How does this scenario relate to conditional probability in general?
Tip: Always sum the total of specific events to ensure your
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Math Problem Analysis
Mathematical Concepts
Probability
Conditional Probability
Formulas
P(A|B) = Number of desired outcomes / Total number of outcomes
Theorems
Basic Probability Rules
Suitable Grade Level
Grades 10-12
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