If f(x) = |x + 6|, find f(–10). –16

A consensus forecast is the average of a large number of individual analysts' forecasts. Suppose the individual forecasts for a

zaharov [31]

Answer:

a) $P(X>3.5)=P(\frac{X-\mu}{\sigma}>\frac{3.5-\mu}{\sigma})=P(Z>\frac{3.5-5}{1.2})=P(z>-1.25)$

And we can find this probability using the complement rule:

$P(z>-1.25)=1-P(z$

b) $P(X$

And we can find this probability uing the normal standard table:

$P(z$

c) $P(3.5$

And we can find this probability with this difference:

$P(-1.25$

And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.

$P(-1.25$

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:

$X \sim N(5,1.2)$

Where $\mu=5$ and $\sigma=1.2$

We are interested on this probability

$P(X>3.5)$

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:

$P(X>3.5)=P(\frac{X-\mu}{\sigma}>\frac{3.5-\mu}{\sigma})=P(Z>\frac{3.5-5}{1.2})=P(z>-1.25)$

And we can find this probability using the complement rule:

$P(z>-1.25)=1-P(z$

Part b

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 uing the normal standard table:

$P(z$

Part c

$P(3.5$

And we can find this probability with this difference:

$P(-1.25$

And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.

$P(-1.25$

3 0

3 years ago

I NEED HELP (I’m sooo dumb lol)

statuscvo [17]

To make a box and whisker plot, first you write down all of the numbers from least to greatest.

0, 1, 3, 4, 7, 8, 10

The median is 4, so that’s the middle line of the plot.

So now we have:
0, 1, 3, [4,] 7, 8, 10

So next we have to find the 1st and 3rd interquartiles..
0, [1,] 3, [4,] 7, [8,] 10

Those are the next 2 points you put on the plot.

Lastly, the upper and lower extremes. These are the highest and lowest numbers in the data.
[0,] 1, 3, 4, 7, 8, [10]

These are the final points on the plot.

To make the box of a box-and-whisker plot, you plot the 3 Medians of the data: 1, 4, and 8, and connect those to make a box that has a line in the middle at 4.

Next, you plot the upper and lower extremes: 0 and 10, by making “whiskers” that connect to the box. So you draw a line from the extremes to the box.

7 0

3 years ago

If A = 41 degree, Angle BDC = 58 degree, and y = 8, Find x.

love history [14]

Check the pictures below.

make sure your calculator is in Degree mode, since the angles are in degrees.

4 0

3 years ago

Sam bought a teddy bear for $3.75 and a stuffed unicorn for $7.50. He gave the cashier $20. How much change did he receive? *

kenny6666 [7]

Answer:

3.75+7.5 = 11.25

20 dollars in total how much change.

20 - 11.25 = 8.75

$8.75 change

7 0

2 years ago

Is My answer correct?

Licemer1 [7]

Yes, you are correct!

6 0

3 years ago

If f(x) = |x + 6|, find f(–10). –16 –4 4 16