The heaviest 10% of fruits weigh more than how many grams?
Give your answer to the nearest 0.1 gram.
The heaviest 10% of fruits weigh more than 814.79 grams.
The problem setup implies that the weight of this fruit is a random variable when it says a particular fruit's weights are normally distributed.
What are the formula weights are normally distributed?
Define X = Random Variable of the fruit's weight
We want to find the specific gram value for which 8% of the fruits are heavier
The 92nd percentile of X's normal distribution
Standardizing we obtain
where Z is a standard normal random variable
==> Set this equal to .92:
Then, from the standard normal table:
Use algebra to solve for x:
Therefore the heaviest 10% of fruits weigh more than 814.79 grams.
To learn more about the weights normally distributed visit: