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elvira18
20.08.2019 •
Mathematics
What are the zeroes of f(x) = x2 - 6x + 8? (4 points) x = -4, 2 x = -4, -2 x = 4, 2 x = 4, -2
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Ответ:
Ответ:
Using the normal distribution and the central limit theorem, it is found that:
a) Since bothIn a normal distribution with mean
and standard deviation
, the z-score of a measure X is given by:
![Z = \frac{X - \mu}{\sigma}](/tpl/images/0588/3391/21d7f.png)
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.By the Central Limit Theorem, for a proportion p in a sample of size n, the mean isIn this problem:
90% of customer orders are received within three working days, henceThe mean and the standard error are given by:
Item a:
Since both
and
, a normal approximation can be used.
Item b:
The probability is the p-value of Z when
, hence:
By the Central Limit Theorem
There is a 0.0475 = 4.75% probability that the proportion in the random sample of 100 orders is the same as the proportion found in the audit sample or less.
To learn more about the normal distribution and the central limit theorem, you can take a look at link