Question:medium

The annual precipitation data of a city is normally distributed with mean \(1200\text{mm}\) and standard deviation \(200\text{mm}\), respectively. The probability that annual precipitation will be more than \(1400\text{mm}\)

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Remember the empirical rule (68-95-99.7 rule) for a normal distribution:
- About \(68%\) of the data lies within \(\pm 1\) standard deviation of the mean.
- This means the remaining \(32%\) lies in the tails outside this range (\(16%\) in each tail).
- Since \(1400\) is exactly 1 standard deviation above the mean, the probability of obtaining a value greater than 1400 is the area of the upper tail: \(16%\) or \(0.16\).
This allows you to find the answer quickly without using a standard normal table.