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twistedhyperboles
26.03.2021 •
Mathematics
Function Evaluation
4, evaluate each of the following.
Given the function f(1) = 6x² + 2x
f(0) =
f(1) =
f(- 1) =
f(2) =
f(-3) =
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Ответ:
a)![P(64< \bar X](/tpl/images/0595/0589/107e0.png)
And using a calculator, excel or the normal standard table we have that:
b)![P(64< \bar X](/tpl/images/0595/0589/fc310.png)
And using a calculator, excel or the normal standard table we have that:
Step-by-step explanation:
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".
Solution to the problem
Let X the random variable that represent the interpupillary distance of a population, and for this case we know the distribution for X is given by:
Where
and ![\sigma=5](/tpl/images/0595/0589/f59b4.png)
Part a
Since the distribution for X is normal then we know that the distribution for the sample mean
is given by:
We want to find this probability:
And using a calculator, excel or the normal standard table we have that:
Part b
And using a calculator, excel or the normal standard table we have that: