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

Question 1081337: 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!
z=(x-mean)/sd
For the first it is (106-101)/2.5 or z>2 =0.0228
For the second, it is z <-1 or 0.1587
For the third, it is z between -2 and +1 or 0.8186
For the fourth, it is z between -1 and +0.8 or 0.6295
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