A limousine has eight tires on it. A fleet of such limos was fit with a batch of tires that mistakenly passed quality testing. The following table lists the probability distribution of the number of defective tires on this fleet of limos where x represents the number of defective tires on a limo and P(x) is the corresponding probability.

Calculate the mean and standard deviation of this probability distribution.

Give a brief interpretation of the values of the mean and standard deviation.

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3 2 6. P(x) .0454 .1723 .2838 .2669 .1569 .0585 .0139 .0015 .0008