An optical inspection system is to distinguish among different part types. The probability of a correct classification of any part 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 that are correctly classified. Determine the probability mass function of X.
Answer to relevant QuestionsIn a semiconductor manufacturing process, three wafers from a lot are tested. Each wafer is classified as pass or fail. Assume that the probability that a wafer passes the test is 0.8 and that wafers are independent. ...Determine the cumulative distribution function for the random variable in Exercise 3-15; also determine the following probabilities: (a) P(X < 1.25) (b) P (X < 2.2) (c) P (-1.1 < X < 1) (d) P (X > 0)The thickness of wood paneling (in inches) that a customer orders is a random variable with the following cumulative distribution function:Determine the mean and variance of the random variable in Exercise 3-23.Show that for a discrete uniform random variable X, if each of the values in the range of X is multiplied by the constant c, the effect is to multiply the mean of X by c and the variance of X by c2. That is, show that (cX) = ...
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