Assume that a normal distribution of data has a mean of 14 and a standard deviation of 2. Use the empirical rule to find the percentage of values that lie below 18.
Solution :
Given that,
= 14
= 2
Using Empirical rule,
P(
- 2
<
X <
+ 2
)
= 95%
P(14 - 2 * 2 < X < 14 + 2 * 2) = 95%
P(10 < X < 18) = 95%
P(X < 18) = 1 - 0.025 = 0.975
Answer = 97.5%
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