SOLUTION: he mean of a normal probability distribution is 540; the standard deviation is 95.(Round the final answers to 2 decimal places.) a. About what percentage of the obser

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Question 1119438: he mean of a normal probability distribution is 540; the standard deviation is 95.(Round the final answers to 2 decimal places.)

a.
About what percentage of the observations lie between 445 and 635?


Percentage of observations %

b. About what percentage of the observations lie between 350 and 730?


Percentage of observations %

c. About what percentage of the observations lie between 255 and 825?


Percentage of observations %

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
The mean of a normal probability distribution is 540; the standard deviation is 95.(Round the final answers to 2 decimal places.)
a.
About what percentage of the observations lie between 445 and 635?
z(445) = (445-540)/95 = -1
z(635) = (635-540)/95 = +1
---
P(445<= x <=635) = P(-1<= z <=1) = 0.6827 = 68.25%
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b. About what percentage of the observations lie between 350 and 730?
Use the same procedure.
Ans:: 95.45%
----------------------
c. About what percentage of the observations lie between 255 and 825?
Use the same procedure.
Ans:: 99.73%
----
Cheers,
Stan H.
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