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Bingel [31]
3 years ago
7

Empirical rule (statistics)Help please!!!

Mathematics
1 answer:
emmasim [6.3K]3 years ago
8 0

The empirical rule you're referring to is the 68-95-99.7 rule, which asserts that for a normal (bell-shaped) distribution, approximately 68% of the distribution lies within 1 standard deviation of the mean; 95% lies within 2 standard deviations of the mean; and 99.7% lies within 3 standard deviations of the mean.

Let X be the random variable denoting vehicle speeds along this highway. We want to find P(61. To use the rule, we need to rephrase this probability in terms of the mean and standard deviation.

Notice that 61=70-9=70-3\cdot3, and 79=70+9=70+3\cdot3. In other words, 61 and 79 both lie exactly 3 standard deviations away from the mean, so P(61.

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