Final answer:
Probability and binomial distribution can be used to calculate the likelihood of a certain number of defective tires in a particular brand.
Step-by-step explanation:
This question involves the topic of probability in mathematics. The student is asked to assume that 1% of all tires of a particular brand are defective due to a certain reason. In probability, this can be seen as a binomial distribution problem, where we want to calculate the likelihood of a certain number of successes (defective tires) out of a given number of trials (total number of tires).
Let's say we have 1000 tires of this brand. We can use the binomial distribution formula to calculate the probability of having a specific number of defective tires. The formula is:
P(X=k) = C(n, k) * p^k * (1-p)^(n-k)
Where P(X=k) is the probability of getting exactly k defective tires out of n total tires, C(n, k) is the number of combinations of choosing k tires out of n, p is the probability of one tire being defective (in this case, 0.01 or 1%) and (1-p) is the probability of one tire not being defective (99% or 0.99).