SOLUTION: I am doing a homework problem: farmers often sell fruits and vegetables at roadside stands during the summer. one such roadside stand has a daily demand for tomatoes that is appro

Question 318931: I am doing a homework problem:
farmers often sell fruits and vegetables at roadside stands during the summer. one such roadside stand has a daily demand for tomatoes that is approximately normally distributed with a mean equal to 133 and standard deviation 30 per day. How many tomatoes must be available on any given day so that there is only a 1.5% chance that all tomatoes will be sold?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
farmers often sell fruits and vegetables at roadside stands during the summer. one such roadside stand has a daily demand for tomatoes that is approximately normally distributed with a mean equal to 133 and standard deviation 30 per day.
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How many tomatoes must be available on any given day so that there is only a 1.5% chance that all tomatoes will be sold?
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Sketch the normal curve with axis "x" = # of tomatoes sold.
The mean is 133 and std = 30.
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Indicate a right tail of 1.5% = 0.015
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Find the z-value with a right tail of 0.015:
invNorm(1-0.015) = invNorm(0.985) = 2.1701
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Find the corresponding "x" value using x = zs+u
x = 2.1701*30+133 = 198.10 tomatoes
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There is only a 1.5% chance that 198 tomatoes will be sold.
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Cheers,
Stan H.

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