An optical inspection system is to distinguish among different part types. The probability of a correct classification of any part is 0.97. Suppose that three parts are inspected and that the classifications are independent. Let the random variable X denote the number of parts that are correctly classified. Determine the probability mass function of X. Round your answers to four decimal places (e.g. 98.7654).
Probability Mass Function of X
x f(x)
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