An optical inspection system is used 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 mean and variance of x. round your answers to three decimal places (e. g. 98.765). mean = variance =

Mean = 2.91 and Variance = 0.087

Step-by-step explanation:

Given : The probability of a correct classification of any part p= 0.97.

The number of parts are inspected : n=3

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

For binomial experiment , the mean and variance is given by :-

Then, the  the mean and variance of X will be :-

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