Team Assignment 6 An optical inspection system is used to distinguish among different part types. The probability of a correct classification is 0.98.

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Presentation transcript:

Team Assignment 6 An optical inspection system is used to distinguish among different part types. The probability of a correct classification is 0.98. Suppose that three parts are inspected and that the classifications are independent. Let the random variable X denote the number of parts correctly classified. Determine the probability mass function of X. Find the mean, E(X). Find the standard deviation of X.

Solution Let Ri be the event that part i classified correctly. Let Wi be the event that part i classified incorrectly (i.e., the classification is wrong).

Solution: Part a

Solution: Part a

Solution: Part b

Solution: Part c