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3 years ago

-10.2+c=-8.14 Helpppp

Mathematics

1 answer:

Oksanka [162]3 years ago

6 0

Answer:

c=18.34

Step-by-step explanation:

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If the distribution is really N ( 5.43 , 0.54 ) , N(5.43,0.54), what proportion of observations would be less than 5.05 ? 5.05?

Ipatiy [6.2K]

Answer:

$P(X$

And we can use the following excel code to find the answer: "=NORM.DIST(-0.704,0,1,TRUE)"

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

$X \sim N(5.43,0.54)$

Where $\mu=5.43$ and $\sigma=0.54$

We are interested on this probability

$P(X$

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:

$P(X$

And we can find this probability on this way:

$P(Z$

And we can use the following excel code to find the answer: "=NORM.DIST(-0.704,0,1,TRUE)"

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Answer:

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$$C=(x_1,y_1)= (-4, 8) \\ D= (x_2,y_2)= (8, -4) $$

We find the midpoint using th

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