SOLUTION: A place bakes donuts who’s mass are normally distributed with a mean mass of 101g and standard deviation of 2.5g. Determine the following probabilities. Be sure to include a diag
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Question 1081411: A place bakes donuts who’s mass are normally distributed with a mean mass of 101g and standard deviation of 2.5g. Determine the following probabilities. Be sure to include a diagram showing the appropriate areas.
a) What percentage of donuts are greater than 106g?
b) What percentage of donuts are less than 98.5g?
c) What percentage of donuts have a mass between 96g and 103.5g?
d) If one purchases ten Apple Frettir donuts, what is the probability that eight will have a mass between 98.5g and 103.g? Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! Greater than 106 is z>(106-101)/2.5 or z>2 or 0.0228 or 2.28%
Less than 98.5 is z< -1 or 0.1587 or 15.87%
Between 96 and 103.5 is -2
Between 98.5 and 103 is z between -1 and +0.8 or 0.6295 or 62.95%
probability of 8 is 10C8*0.6295^8*0.3705^2=0.1523
