When asked to graph the line for y = 2/5x + 3, Mallory drew the line shown.
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Answer:
Step-by-step explanation:
1) Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Let X the random variable that represent the thickness of a population, and for this case we know the distribution for X is given by:
Where and
And let represent the sample mean, the distribution for the sample mean is given by:
On this case
2) Solution to the problem
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And in order to find this probability we can find tables for the normal standard distribution, excel or a calculator.
And the excel formula to calculate it would be:
"=NORM.DIST(-1.545,0,1,TRUE)"