SOLUTION: 10. The mean weight of 500 male students at a certain college is 151 pounds (lb), and the standard deviation is 15 lb. Assuming that the weights are normally distributed, how many

Algebra ->  Probability-and-statistics -> SOLUTION: 10. The mean weight of 500 male students at a certain college is 151 pounds (lb), and the standard deviation is 15 lb. Assuming that the weights are normally distributed, how many       Log On


   



Question 356287: 10. The mean weight of 500 male students at a certain college is 151 pounds (lb), and the standard deviation is 15 lb. Assuming that the weights are normally distributed, how many students weigh between 100 lb. and 150 lb.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Find the z score for 100 lbs.
z%5B1%5D=%28x-mu%29%2Fsigma=%28100-151%29%2F15
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.
.
Find the z score for 150 lbs.
z%5B2%5D=%28x-mu%29%2Fsigma=%28150-151%29%2F15
.
.
.
Find P%28z%5B1%5D%29 and P%28z%5B2%5D%29.
Then,
P%28100%3Cx%3C150%29=P%28z%5B1%5D%3Cz%3Cz%5B2%5D%29=P%28z%5B2%5D%29-P%28z%5B1%5D%29
highlight%28N=500%2AP%28100%3Cx%3C150%29%29