The Sky Ranch is a supplier of aircraft parts. Included in stock are 10 altimeters that are correctly calibrated and two that are not. Three altimeters are randomly selected without replacement. Let the random variable x\displaystyle {x} represent the number that are not correctly calibrated.

Complete the probability distribution table. (Report probabilities accurate to 4 decimal places.)
x\displaystyle {x}P(x)\displaystyle {P}{\left({x}\right)}
0
1
2
3


Find the mean of this probability distribution. (Appropriate rounding rules apply.)
mean =