Which description correctly applies to the concept of correlation

In a certain year, the U.S. Senate was made up of 53 Democrats, 45 Republicans, and 2 Independents who caucus with the Democrats

babunello [35]

Answer:

There is a 47.50% probability that the chosen senator is a Democrat.

Step-by-step explanation:

This can be formulated as the following problem:

What is the probability of B happening, knowing that A has happened.

It can be calculated by the following formula:

$P = \frac{P(B).P(A/B)}{P(A)}$

Where P(B) is the probability of B happening, P(A/B) is the probability of A happening knowing that B happened and P(A) is the probability of A happening.

In your problem we have that:

A(what happened) is the probability of a gun owner being chosen:

There are 100 people in the survay(53 Democrats, 45 Republicans ans 2 Independents), and 40 of them have guns(19 Democrats, 21 Republicans). So, the probability of a gun owner being chosen is:

$P(A) = \frac{40}{100} = 0.4$

$P(A/B)$ is the probability of a senator owning a gun, given that he is a Democrat. 19 of 53 Democrats own guns, so the probability of a democrat owning a gun is:

$P(A/B) = \frac{19}{53} = 0.3585$

$P(B)$ is the probability that the chosen senators is a Democrat. There are 100 total senators, 53 of which are Democrats, so:

$P(B) = \frac{53}{100} = 0.53$

If a senator participating in that survey was picked at random and turned out to be a gun owner, what was the probability that he or she was a Democrat?

$P = \frac{P(B).P(A/B)}{P(A)} = \frac{(0.53)*(0.3585)}{(0.40)} = 0.4750$

There is a 47.50% probability that the chosen senator is a Democrat.

7 0

3 years ago

A particular beach is eroding at a rate of 4 centimeters per year. A realtor converts this rate to millimeters per day. Which ex

monitta

Correct answer is A) StartFraction 4 centimeters Over 1 year EndFraction times StartFraction 10 millimeters Over 1 centimeter EndFraction times StartFraction 1 year Over 365 days EndFraction

<u>Step-by-step explanation:</u>

We have , A particular beach is eroding at a rate of 4 centimetres per year. A realtor converts this rate to millimetres per day. We need to find correct expression, when evaluated, results in the correct units and numerical value . Let's find out:

We know that, A particular beach is eroding at a rate of $4\frac{cm}{year}$

$1cm = 10mm$

$1 year = 365 days$

⇒ $4(\frac{cm}{year})$

⇒ $4(\frac{10mm}{year})$

⇒ $4(\frac{10mm}{365days})$

⇒ $\frac{40mm}{365days}$

⇒ $\frac{8mm}{73days}$

Therefore, According to calculations, Correct answer is A) StartFraction 4 centimeters Over 1 year EndFraction times StartFraction 10 millimeters Over 1 centimeter EndFraction times StartFraction 1 year Over 365 days EndFraction

3 0

3 years ago

Read 2 more answers

Assume a color display using 8 bits for each of the primary colors (red, green, blue) per pixel and a frame size of 1280 × 1024.

elixir [45]

-8bits is equivalent yo 1 byte

-bit is(0 or 1)

So each pixel requires 3 bytes

Primary colors are RGB(red,green and blue),so each color represent one byte.

The frame size is:

1280×1024=1310720 pixels

So that the frame contained 1310720 pixels

The size of the frame buffer is equal to the product of RGB and frame pixels:

=3 × 1310720

=3932160 bytes

5 0

3 years ago

Write 6,219 in expanded<br> form.

zhenek [66]

Answer: 6000+200+10+9

Step-by-step explanation:

The ones place multiplies by 1 so 9*1=9

The tens place multiplies by 10 so 10*1=10

The hundreds place multiply by 100 so 100+2=100

The thousands place multiply by 1000 so 1000*6=6000

Hope This Helps!!!

4 0

3 years ago

Read 2 more answers

Roberta needs 12 zippers to make 3 of the same backpacks. If Roberta has 48 zippers, how many of those same backpacks can she ma

yaroslaw [1]

First, you need to find out how many zippers are used to make one bookbag. To do that, you divide the zippers used to make the 3 backpacks.

12 / 3 = 4

So, 4 zippers are used per bookbag. Then, you divide the number of available zippers by four to find out how many bags she can make.

48 / 4 = 12

Roberta can make 12 bookbags.

5 0

3 years ago

Which description correctly applies to the concept of correlation￼

Which description correctly applies to the concept of correlation