Question

A bottle of fruit punch contains at least 437ml. The machine that fills the bottle is set so that the mean volume is 477ml. The volumes in the bottle are normally distributed

Name the properties that make up this bell curve if the standard deviation is 2ml.

Answer 1

The properties that make up this bell curve if the standard deviation is 2ml is ZERO ( 0)

Explanation:

We would be using the z score formula to solve this question.

z = (x-μ)/σ, where

x is the raw score,

μ is the population mean

and σ is the population standard deviation.

In the question, we were given:

x is the raw score = 437 ml

μ is the population mean = 477ml

and σ is the population standard deviation = 2 ml

z = (x-μ)/σ,

z = (437- 477)/2

z = -40/2

z = -20

P(x< z ) = P( x < -20)

Using the z normal distribution

P( x < -20 ) = 0

Therefore , the properties that make up this bell curve if the standard deviation is 2ml is ZERO. It has no properties.