Final answer:
To find the probability of exactly three defective pieces being found in the sample of five, use the binomial distribution formula.
Step-by-step explanation:
To find the probability of exactly three defective pieces being found in the sample, we can use the binomial distribution formula. The formula is: P(X = k) = nCk * p^k * (1 - p)^(n - k), where n is the sample size, k is the number of defective pieces, and p is the probability of a piece being defective. In this case, n = 5, k = 3, and p = 0.2. Plugging these values into the formula, we get: P(X = 3) = 5C3 * 0.2^3 * (1 - 0.2)^(5 - 3). Evaluating this expression gives us the probability of exactly three defective pieces being found in the sample.