An optical inspection system is used to distinguish among different part types. The probability of 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 and cumulative mass function of X.

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Asked Jun 12, 2019

An optical inspection system is used to distinguish among different part types. The probability of 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 and cumulative mass function of X.

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Step 1

Here, X is a random variable that denotes the number of parts that are correctly classified.

The number of parts inspected (n) is 3.

The probability of correct classification of a single part is 0.98.

It is provided that the classifi...

P(X =k)C,p' (1-p)
The cumulative mass function (CMF) of a binomial distribution is,
P(Xk)=Cp (1-p)"
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P(X =k)C,p' (1-p) The cumulative mass function (CMF) of a binomial distribution is, P(Xk)=Cp (1-p)"

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