SOLUTION: 3. The weight of pineapple slices, in grams, in a tin is normally distributed with mean µ and standard deviation of 7.8 grams. Given that 10% of tins contain less than 200 grams.

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Question 1174170: 3. The weight of pineapple slices, in grams, in a tin is normally distributed with mean µ
and standard deviation of 7.8 grams. Given that 10% of tins contain less than 200 grams.
a. What is the value of µ? (give your answer to the nearest whole number
b. What percentage of the tins contain more than 225 grams?
c. What percentage of tins weigh between 215 grams and 230 grams?
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
the 10th percentile is z=-1.28
z=(x-mean)/sd
-1.28=(200-mean)/7.8
200-mean=-9.98
mean=209.98 or 210 gm.
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>225 gm would be a z> 15/7.8 or 1.92. That probability is 0.0274
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between 215 and 230 would be a z of between 5/7.8 and 20/7.8 or 0.64 and 2.56
probability is 0.2559
or calculator 2nd VARS 2 normalcdf(215,230,210,0.78) ENTER 0.2556 (less rounding than above)