Question

In: Statistics and Probability

The mean of a normal probability distribution is 380; the standard deviation is 10. About 68%...

The mean of a normal probability distribution is 380; the standard deviation is 10.

About 68% of the observations lie between what two values?

About 95% of the observations lie between what two values?

Practically all of the observations lie between what two values?

Expert Solution

According to Empirical rule (68 - 95 - 99.7)

Approximately, 68% data falls in 1 standard deviation of the mean.

Approximately, 95% data falls in 2 standard deviation of the mean.

Approximately, 99.7% data falls in 3 standard deviation of the mean.

a)

68% data falls between

= 380 10

Between 380 - 10 and 380 + 10

Between 370 and 390

b)

95% data falls between 2

= 380 2 * 10

Between 380 - 2 * 10 and 380 + 2 * 10

Between 360 and 400

c)

About all data falls between 3 standard deviation of the mean.

That is between 3

= 380 3 * 10

Between 380 - 3 * 10 and 380 + 3 * 10

Between 350 and 410

orchestra answered 2 years ago

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