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Tpy6a [65]
3 years ago
5

Please Help. EL = ? AE = ? will vote brainliest if answer is correct. please show you work and how to do the question.

Mathematics
1 answer:
Anni [7]3 years ago
6 0
AE*AL=AO^2

SO, AE=144/18=8   EL=AL-AE

so answer is 10
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Answer:

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And we can find this probability with this difference and with the normal standard table or excel:

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And using the limits we got:

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And we want to find this probability:

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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".  

Part a

Let X the random variable that represent the resitances of a population, and for this case we know the distribution for X is given by:

X \sim N(0.12,0.009)  

Where \mu=0.12 and \sigma=0.009

We are interested on this probability

P(0.11

And the best way to solve this problem is using the normal standard distribution and the z score given by:

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If we apply this formula to our probability we got this:

P(0.11

And we can find this probability with this difference and with the normal standard table or excel:

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Part b

We select a sample size of n =4. And since the distribution for X is normal then we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And we want this probability:

P(0.11 < \bar X < 0.13)

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z = \frac{0.11-0.12}{\frac{0.009}{\sqrt{4}}}= -2.22

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And we want to find this probability:

P(-2.22< Z

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