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14 refrigerators of a certain type has been returned to a distributor - 6 of these...

14 refrigerators of a certain type has been returned to a distributor - 6 of these refrigerators have a defective compressor and 8 have less serious problems. A sample (without replacement) of 6 refrigerators are examined in random order, let X be the number of refrigerators with defective compressor among the examined ones. Answer all questions to 3 decimal places.

P(X = 3) =

P(1 < X ≤ 3) =

What is the expected number of refrigerators with defective compressor among the examined ones?

What is the standard deviation of number of refrigerators with defective compressor among the examined ones?

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