SAT verbal scores are normally distributed with a mean of 489 and a standard deviation of...
SAT verbal scores are normally distributed with a mean of 489 and a standard deviation of 93. Use the empirical rule (also called 68-95-99.7 rule) to determine what percentage of the scores lie. a) between 210 and 675. b). Above 675?
Homework Answers
Solution :
Given that,
= 489
= 93
Using Empirical rule,
(a)
P(
- 3<
X <
+ 3)
= 99.7%
P(489 - 3 * 93 < X < 489 + 3 * 93) = 99.7%
P(210 < X < 675) = 99.7%
Answer= 99.7%
(b)
P(X > 675) = 1 - P(X < 675) = 0.15%
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