An optical inspection system is used to distinguish among different part types. the probability of a correct classification of any part is 0.96. 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 mean and variance of x. round your answers to three decimal places (e. g. 98.765). mean

Step-by-step explanation:

Given : The probability of a correct classification of any part is : p=0.96

sample size : n= 3

The formula to find the mean and variance for binomial distribution is given by :-

Let the random variable X denote the number of parts that are correctly classified.

The, for the given situation, we have

Hence, the mean and variance of X are 2.88 and 0.115 respectively.

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step-by-step explanation:

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