Math Problem Statement
Solution
To solve the problem:
The probability of failure after 1000 hours is given as . The probability that the machine is still working is the complement of the probability of failure:
Substituting the given value:
Answer: The probability that the washing machine will still be working after 1000 hours of use is 0.94.
Do you want further details or have any questions?
Related Questions:
- What is the complement rule in probability and how is it used?
- If 100 washing machines are tested, how many would you expect to still work after 1000 hours?
- How would the probability change if was reduced to 0.03?
- What does the term "complement" mean in probability theory?
- Can this probability be expressed as a percentage, and what would it be?
Tip:
In probability, the complement rule is very useful for solving problems where the "failure" and "success" probabilities are linked!
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Math Problem Analysis
Mathematical Concepts
Probability
Complement Rule
Formulas
P(Working) = 1 - P(Failure)
Theorems
Complement Rule of Probability
Suitable Grade Level
Grades 6-8
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