A particular fruit's weights are normally distributed, with a mean of 615 grams and a standard deviation of 10 grams.

The heaviest 10% of fruits weigh more than how many grams?

Give your answer to the nearest 0.1 gram.
Expert-verified answer
0 (0 оценки)
0
swapnalimalwadeVT 6 months ago
Светило науки - 619 ответа - 0 помощи

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:

https://brainacademy.pro/question/17091450

#SPJ1

Still have questions?