Question 423194: Hello,
I think this is a probability problem... if it is not considered probability than i am sorry.
During boot camp, the drill sergeant measured the weight of the men in his unit. the average weight of the men was 142 pounds and the standard deviation was 14 pounds. the data is normally distributed. if there are 100 men in the unit, how many men would be expected to weigh less than 128 pounds?
The 100 men part of the problem threw me off. thanks for all of your help :)
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! During boot camp, the drill sergeant measured the weight of the men in his unit. the average weight of the men was 142 pounds and the standard deviation was 14 pounds. the data is normally distributed. if there are 100 men in the unit, how many men would be expected to weigh less than 128 pounds?
--------------
Find z-value of 128.
z(128) = (128-142)/14 = -1
-----
P(x < 128) = P(z < -1) = 0.1587
=======
If there are 100 men in the unit, how many men would be expected to weigh less than 128 pounds?
---
Expected # of 100 men = 0.1587*100 = 158.7 = 159 men
====================================================
Cheers,
Stan H.
============
|
|
|
