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:

  1. What is the probability that exactly 2 cars out of 5 are faulty?
  2. If Mario tests 10 cars, what is the expected number of faulty cars?
  3. What is the probability that none of the 10 cars tested are faulty?
  4. If Mario tests 5 cars, what is the probability that at least 1 car is faulty?
  5. 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