GATE ME 2016 Set 3 — Question 14
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Engineering Mathematics → Statistics & Distributions → Normal Distribution
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Question
The area (in percentage) under standard normal distribution curve of random variable within limits from to is __________
Correct answer
99.6 to 99.8
Solution
For a standard normal distribution , the area within the limits to is given by . Using standard normal tables, and . Thus, . In percentage terms, this is . This is also known as the empirical rule or the rule, which states that approximately of the data falls within three standard deviations of the mean for a normal distribution.
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