Suppose, 12 air conditioners are returned to their distributors and among them, 7 air conditioners have defective compressors, and the rest of them have comparatively minor problems.   a) If 6 air conditioners are examined at random then what is the probability that at most  4 air conditioners have defective compressors.  b) Find the probability that the random variable exceeds its mean value by more

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Suppose, 12 air conditioners are returned to their distributors and among them, 7 air conditioners have defective compressors, and the rest of them have comparatively minor problems.  

a) If 6 air conditioners are examined at random then what is the probability that at most  4 air conditioners have defective compressors. 

b) Find the probability that the random variable exceeds its mean value by more than 1 standard deviation.

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