SOLUTION: A particular fruit's weights are normally distributed, with a mean of 409 grams and a standard deviation of 9 grams. If a fruit is picked at random then 17% of the time, its wei

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Question 1159867: A particular fruit's weights are normally distributed, with a mean of 409 grams and a standard deviation of 9 grams.
If a fruit is picked at random then 17% of the time, its weight will be greater than how many grams?
Give your answer to the nearest gram.

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
use 2nd VARS 3 invnorm (.83,409,9) to get 417.58, which rounds to 418 gm
17% of the time the weight will be greater than is the 83rd percentile
or 83rd percentile is +0.95 for z
z=(x-mean.sd)=+0.95
x-mean=+8.55
x=417.55 which rounds up to 418 gm. The weight will be greater than 418 gm 17% of the time