Normal Distribution Tail Probability
Mediumnormal distributionz-score
A quantity is normally distributed with mean 500 and standard deviation 50. The probability that a single observation exceeds 600 is most nearly:
- A0.6%
- B2.3%
- C5.0%
- D16%
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Answer: B. 2.3%
Standardising, z = (600 − 500)/50 = 2.0. The area beyond z = 2.0 in one tail of the standard normal distribution is about 0.0228, or 2.3%. The value 16% corresponds to z = 1.0, one standard deviation, and 5% would be roughly z = 1.65.
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