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2 years ago

A test has 20 questions.

Mathematics

1 answer:

astraxan [27]2 years ago

6 0

Answer:

Not possible, but if there are any answer choices please add them in the comments below.

Step-by-step explanation:

In order for you to get 45 questions correct you wouldn't have enough questions on the test to do so, because as you've stated there are only 20 questions on the test, so you would need to complete more than one test.

If this is the case then you would need to complete 3 tests of 20 questions. and get 15 questions right on each test to get 45 questions correct in total.

Hope this has helped, have a good day.

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a) $P(5$

And we can find this probability with this difference:

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And using the norma standard distribution or excel we got:

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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 variable of interest of a population, and for this case we know the distribution for X is given by:

$X \sim N(7.37,1.25)$

Where $\mu=7.37$ and $\sigma=1.25$

We are interested on this probability

$P(5$

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

$z=\frac{x-\mu}{\sigma}$

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

$P(5$

And we can find this probability with this difference:

$P(-1.90$

And using the norma standard distribution or excel we got:

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Part b

For this case we want this probability:

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And we can use the z score and we got:

$P(X>6) =P(Z> \frac{6-7.37}{1.25}) = P(Z>-1.096)$

And using the complement rule we got:

$P(Z>-1.096) =1-P(Z$

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