+10

7 months ago

Mathematics

College

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.

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:

https://brainacademy.pro/question/17091450

#SPJ1

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The heaviest

10%offruitsweighmore than814.79grams.The problem setup implies that the weight of this fruit is a

randomvariablewhen it says a particular fruit'sweights are normally distributed.## What are the formula weights are normally distributed?

Define X = Random Variable of the

fruit's weightWe want to find the

specific gramvalue for which8% of the fruits are heavierThe

92ndpercentile of X'snormal distributionStandardizingwe obtainwhere 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%offruitsweighmore than814.79grams.To learn more about the

weights normally distributedvisit:https://brainacademy.pro/question/17091450

#SPJ1