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P(X = x) = p(1 - p)^(x - 1): This is the formula for the probability mass function of a geometric distribution, where success is
P(X = x) = p(1 - p)^(x - 1): This is the formula for the probability mass function of a geometric distribution, where "success" is defined as the event we are interested in, and we want to know the probability that the first success occurs on the x-th trial. Here, p is the probability of success, 1 - p is the probability of failure, and x is the number of trials. 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. What is the probability that the 10th transistor produced is the first with a defect
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