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OleMash [197]
2 years ago
5

Conditional Distribution, Marginal Distribution, Joint Distribution. What’s the difference?

Mathematics
1 answer:
lutik1710 [3]2 years ago
3 0

Explanation:

Marginal distribution: This distribution gives the probability for each possible value of the Random variable ignoring other random variables. Basically, the values of other variables is not considered in the marginal distribution, they can be any value possible. For example, if you have two variables X and Y, the probability of X being equal to a value, lets say, 4, contemplates every possible scenario where X is equal to 4, independently of the value Y has taken. If you want the probability of a dice being a multiple of 3, you are interested that the dice is either 3 or 6, but you dont care if the dice is even or odd.

Conditional distribution: This distribution contrasts from the previous one in the sense that we are restricting the universe of events to specific condition for other variable, making a modification of our marginal results. If we know that throwing a dice will give us a result higher than 2, then to in order to calculate the probability of the dice being a multiple of 3 using that condition, we have two favourable cases (3 and 6) from 4 total possible results (3,4,5 and 6) discarding the impossible values (1 and 2) from this universe since they dont match the condition given (note that the restrictions given can also reduce the total of favourable cases).

The joint distribution calculates the probabilities for two different events (related to two different random variables) occuring simultaneously. If we want to calculate the joint probability of a dice being multiple of 3 and greater than 2 at the same time, our possible cases in this case are 3 and 6 from 6 possible results. We are not discarding 1 or 2 as possible results because we are not assuming, that the dice is greater than 2, that is another condition that we should met in the combination of events.

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Bottom 2. Substitute 2y on both sides of the equation

3y and 2y cancel

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2 years ago
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7. The bottom of a circular swimming pool
mote1985 [20]
<h2>Hello!</h2>

The answer is:

1017.88 square feet are blue.

<h2>Why?</h2>

To calculate how many square feet are blue, we need to calculate the area of the bottom of the circular swimming pool.

We need to remember that we can calculate the area of any circle using the following formula:

Area_{circle}=\pi radius^{2}

Now, we know that the diameter of the bottom is equal to 36 feet, so, we can calculate the radius of the bottom using the following formula:

diameter=2radius\\\\radius=\frac{diameter}{2}

So,

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Hence, we have that 1017.88 square feet are blue.

Have a nice day!

4 0
3 years ago
The temple at the top of pyramid is approximately 24 meters above the ground, and there are 91 steps leading up the temple. How
slamgirl [31]

Answer:

13.187 meters

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Answer:

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remember what your teachers saids: what does it mean for the circlies to be colored or blank.

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You have $5 and earn $0.50 for each cup of orange juice you sell. Write an equation that represents the total amount $A$A​ (in d
hjlf

Answer: Your equation would be A(J)=.50j + 5

Step-by-step explanation:

6 0
2 years ago
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