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2 years ago

I need help on solving this math problem.

Mathematics

1 answer:

son4ous [18]2 years ago

5 0

Answer:

f(1)=-3

f(-4)=-11

f(6)=0

Step-by-step explanation:

Use the correct formula depending on what (x) equals.

When (x=1) you use the second formula because 1 is greater than -2 but less than 4

When (x=-4) you use the first formula because -4 is less than -2

When (x=6) you use the third formula because 6 is greater than 4

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3 years ago

A sample of size 6 will be drawn from a normal population with mean 61 and standard deviation 14. Use the TI-84 Plus calculator.

AVprozaik [17]

Answer:

$X \sim N(61,14)$

Where $\mu=61$ and $\sigma=14$

Since the distribution for X is normal then the distribution for the sample mean is also normal and given by:

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

$\mu_{\bar X} = 61$

$\sigma_{\bar X}= \frac{14}{\sqrt{6}}= 5.715$

So then is appropiate use the normal distribution to find the probabilities for $\bar X$

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". The letter $\phi(b)$ is used to denote the cumulative area for a b quantile on the normal standard distribution, or in other words: $\phi(b)=P(z$

Solution to the problem

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:

$X \sim N(61,14)$

Where $\mu=61$ and $\sigma=14$

Since the distribution for X is normal then the distribution for the sample mean $\bar X$ is also normal and given by:

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

$\mu_{\bar X} = 61$

$\sigma_{\bar X}= \frac{14}{\sqrt{6}}= 5.715$

So then is appropiate use the normal distribution to find the probabilities for $\bar X$

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3 years ago

PLEASE ANSWER QUICKLY!! I NEED THIS ANSWER ASAP

Nana76 [90]

Answer:

you can use a website called wolfram alpha to help with any math equation

Step-by-step explanation:

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2 years ago

I need help on solving this math problem.​

I need help on solving this math problem.