Question 1199249: 3. Assume that the amounts of weight that male college students gain during their freshman year are normally distributed with a mean of U=1.3kg and a standard deviation of alpha =5.6kg.
a. If 1 male college student is randomly selected, find the probability that he gains between 0 kg and 3 kg during freshman year.
Answer by ikleyn(52787)   (Show Source):
You can put this solution on YOUR website! .
Assume that the amounts of weight that male college students gain during their freshman
year are normally distributed with a mean of 1.3 kg and a standard deviation of 5.6 kg.
If one male college student is randomly selected, find the probability
that he gains between 0 kg and 3 kg during freshman year.
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Every normal distribution curve is a bell shaped curve.
In this problem, they want you determine the area under this specific normal curve
between the raw marks from 0 to 3 kg. This area is the sought probability.
Go to web-site https://onlinestatbook.com/2/calculators/normal_dist.html
and find there free of charge online calculator, specially developed for this purpose.
Input the mean value 1.3 and the standard deviation value 5.6;
input 0 and 3 in the window "Between"; then click "Recalculate".
You will get the ANSWER 0.2111 in the window "Probability".
The auxiliary plot will show you the area of the interest.
Now, when you know "what to do", I will tell you that you can get the same result
using your calculator TI-83 or TI-84 (or whatever).
For it, use the calculator' standard function normalcdf with parameters
z1 z2 mean SD
P = normalcdf( 0, 3, 1.3, 5.6) = 0.2111.
You will get the same value of the probability 0.2111 from your calculator.
At this point, the solution is completed.
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From my post, you learned two methods/approaches of solving such problems.
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