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The mean of a normal probability distribution is 440; the standard deviation is 16. About 68%...

The mean of a normal probability distribution is 440; the standard deviation is 16. 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?

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

Solution :

Given that,

= 440

= 16

Using Empirical rule,

P( - 2< X < + 2) = 95%

P(440 - 2 * 16 < X < 440 + 2 * 16) = 95%

P(408 < X < 472) = 95%

The 95% of the observations lie between what two values are : 408 and 472

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