Question

The mean of a normal probability distribution is 380; the standard deviation is 18. a. About 68% of the observations lie between what two values? b. About 95% of the observations lie between what two values? c. Practically all of the observations lie between what two values?

Answer #1

The 68-95-99.7 rule , also known as the empiricsl rule is as follows:

Here in this problem

So, and

So, 64% of values lies between 362 and 398

and

So, 95% values lies between 344 and 416 .

practically all values lie between the 3 limit .

and

So, practically all values lies bw 326 and 434

If you have doubts, let me know below. thank you

As empirical rule says :

that imples, 68% of values will lie between this range () .

Similarly the others. Thus I have got those values.

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standard deviation is 10.
a. About 68% of the observations lie between what two
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About 95% of the observations lie between what two values?
Practically all of the observations lie between what two
values?

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standard deviation is 18.
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Value #1_____. Value #2______.
b)About 95% of the observations lie between what two values?
Value#1_____. Value#2_____.
c)Practically all of the observations lie between what two
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standard deviation is 20.
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
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(a)
About 68 percent of the observations lie between what two
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Value 1
Value 2
(b)
About 95 percent of the observations lie between what two
values?
Value 1
Value 2
(c)
Practically all of the observations lie between what two
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Value 1
Value 2

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a. About 68% of the observations lie between what
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Lower Value
Upper Value
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Upper Value

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