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help with a statistics question? PLEASE!?
Q: A soft drink machine outputs a mean of 26 ounces per cup. The machines output is normally distributed with a standard deviation of 4 ounces.
What is the probability of filling a cup between 22 and 35 ounces?
Thanks in advance!
3 Answers
- Anonymous9 years agoFavorite Answer
Ryan: Please help me out with this.
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- 9 years ago
Well, using a calculator would be easiest.
2nd -> VARS -> normalcdf(22,35,26,4)
normalcdf (min, max, mean, standard deviation)
= 0.8291 = 82.91%
Noncalc (in case you want to prove to people that you can solve the problem on your own):
Find the Z-scores of 22 and 35 ounces (z=(x-u)/o - google z-score equation if you need to). Next, find the percentages of z-scores based on Table A (Standard Normal Probabilities). Then Subtract the percentages to get the answer.
Hope I helped ^-^
Source(s): AP Stats (last year) :D - 9 years ago
100%.... if the machine garentees to output at least 26 ounces if it's 4 oz shy of that every time it is still between 22-35 because it will never go above 30 (26+4=30)
Hope that helps!!