Math Problem Statement
Mario tests new cars. The probability that a car is faulty is 0.04.
Solution
It looks like you're describing a scenario where Mario is testing cars, and the probability that a car is faulty is given as 0.04. This seems like a probability problem.
Do you need help with a specific question related to this scenario, such as calculating the probability of a certain number of faulty cars in a sample, or determining expected values, or something else?
Let me know how you'd like to proceed, and I can provide a detailed solution.
Here are a few potential directions we could explore:
- What is the probability that exactly 2 cars out of 5 are faulty?
- If Mario tests 10 cars, what is the expected number of faulty cars?
- What is the probability that none of the 10 cars tested are faulty?
- If Mario tests 5 cars, what is the probability that at least 1 car is faulty?
- How do you calculate the variance in the number of faulty cars when testing a sample of 5 cars?
Tip: When working with probabilities like this, you can often use the binomial distribution, especially if the probability of a car being faulty is independent and remains constant across trials.
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Math Problem Analysis
Mathematical Concepts
Probability
Binomial Distribution
Expected Value
Variance
Formulas
Binomial Distribution: P(X = k) = (n choose k) * p^k * (1-p)^(n-k)
Expected Value: E(X) = n * p
Variance: Var(X) = n * p * (1 - p)
Theorems
Binomial Distribution Theorem
Suitable Grade Level
Grades 9-12
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