A machine that produces a special type of transistor (a component of computers) has a 2% defective rate. The production is considered a random process where each transistor is independent of the others. (1) What is the probability that the 10th transistor produced is the first with a defect? We use the formula P(X = x) = p(1 - p)^(x - 1) when we define "failure" as the event we are interested in, and we want to know the probability that the first failure occurs on the x-th trial. In this formula, p is the probability of failure, 1 - p is the probability of success, and x represents the number of trials. By substituting the given values into the formula, we calculate: P(X = 10) = 0.02(1 - 0.02)^(10 - 1) P(X = 10) = 0.02(0.98)^9 = 0.016674956 The probability that the 10th transistor produced is the first with a defect was calculated as 1.67%. Is this correct