SOLUTION: I want to see if I did this problem right: The average afe of CEO's is 56. Assume the cariable is normally distrubited. If the standard deviation is 4 years, find the probabilit

Question 133641This question is from textbook Statistics
: I want to see if I did this problem right:
The average afe of CEO's is 56. Assume the cariable is normally distrubited. If the standard deviation is 4 years, find the probability that the age of a randomly selected CEO will be in the following range:
Between 53 and 59 years old.
This is how I did it:
53-56/4 = -.75 then I looked at my chart and found that the average was .2580
59-56/4 = .75 then I looked at the chart and found the average was .2580
then I added the 2 averages together: .2580 + .2580 = .516 = 51.6% This question is from textbook Statistics

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The average afe of CEO's is 56. Assume the cariable is normally distributed. If the standard deviation is 4 years, find the probability that the age of a randomly selected CEO will be in the following range:
Between 53 and 59 years old.
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Find the z-score for 53 and for 59:
z(53) = (53-56)/4 = -0.75
z(59) = (59-56)/4 = 3/3 = +0.75
-----------------------------
P(53 < x < 59) = P(-.075 < z < 0.75) = 0.5467
------------------------------
Let me know if you do not understand all of this.
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If you have a TI calculator use normalcdf(53,59,56,4) = 0.5467
=======================
Cheers,
Stan H.
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