Question: A resistor in a certain circuit is specified to have a resistance in the range 99 -101 . An engineer obtains two resistors. The probability

A resistor in a certain circuit is specified to have a resistance in the range 99 -101 . An engineer obtains two resistors. The probability that both of them meet the specification is 0.36, the probability that exactly one of them meets the specification is 0.48, and the probability that neither of them meets the specification is 0.16.

Let X represent the number of resistors that meet the specification.

Find the probability mass function, and the mean, variance, and standard deviation of X.

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