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Each of 15 refrigerators of a certain type has been returned to a distributor because of...

Each of 15 refrigerators of a certain type has been returned to a distributor because of an audible, high-pitched, oscillating noise when the refrigerators are running. Suppose that 12 of these refrigerators have a defective compressor and the other 3 have less serious problems. If the refrigerators are examined in random order, let X be the number among the first 11 examined that have a defective compressor.

(a) Calculate

P(X = 9) and P(X ≤ 9).  (Round your answers to four decimal places.)

P(X = 9) = .4835

P(X ≤ 9) = .8462

(b) Determine the probability that X exceeds its mean value by more than 1 standard deviation. (Round your answer to four decimal places.)

I have successfully answered part A but I am struggling on part B.

Math   Statistics-And-Probability   
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