Final answer:
The scenario can be modeled using a binomial probability distribution, with the formula P(X = k) = (n choose k) * p^k * (1-p)^(n-k) allowing us to calculate the likelihood of a certain number of strikes across six independent plants.
Step-by-step explanation:
The question concerns the probability of independent events in a garment manufacturer plant where there is an eleven percent chance of a strike at any one plant. The number of plants that may go on strike is represented by the random variable X. Since the risk of a strike at one plant is independent of the risk at another, this scenario can be modeled using a binomial probability distribution. To calculate the probability, we can use the formula for binomial distribution: P(X = k) = (n choose k) * p^k * (1-p)^(n-k) where n is the number of trials (plants), k is the number of successes (strikes), and p is the probability of a single success. We can apply this formula to find the probability of various numbers of strikes occurring.