Consider two random variables X and Y with joint probability mass function pxy(0,0) 0.4, pxy(0,1) = 0.1, pxv(1,0) = 0.2, pxy(1, 1) = 0.3. Find the correlation E[XY]. (a) 0.1 (b) 0.2 (c) 0.3 (d) 0.4 (e) 0.5 (f) 0.6 (g) 0.8 (h) 0.9 (i) 1.0

Answers

Answer 1

Considering two random variables X and Y with joint probability mass function pxy(0,0) 0.4, pxy(0,1) = 0.1, pxv(1,0) = 0.2, pxy(1, 1) = 0.3, the correlation E[XY] is 0.5. The correct answer is option e.

To find the correlation E[XY] for the given joint probability mass function, we need to calculate the expected value of the product XY. The correlation between X and Y is defined as:

E[XY] = ∑x ∑y (xy) pxy(x, y)

Let's calculate the expected value:

E[XY] = (0)(0) * pxy(0,0) + (0)(1) * pxy(0,1) + (1)(0) * pxy(1,0) + (1)(1) * pxy(1,1)

= 0 * 0.4 + 0 * 0.1 + 1 * 0.2 + 1 * 0.3

= 0 + 0 + 0.2 + 0.3

= 0.2 + 0.3

= 0.5

Therefore, the correlation E[XY] is 0.5. So option e is correct.

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Step-by-step explanation:

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How might a change in the environment affect plants differently than it would animals?

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Answer:

Some plants need certain things in their environment, so if their environment changes it could make the plants not grow. Animals would most likely either move to a different area or would get used to the change.

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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The sum of the angles in a triangle is 180°, If I remember correctly.

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Answers

[tex]area = lw[/tex]

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//

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

4a + b2

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4 x 4 = 16

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Answer:

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Step-by-step explanation:

Hope this helps

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Answers

Answer:

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Step-by-step explanation:

Hope that helps!

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Answer:

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Answer:

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Answers

Answer:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Step-by-step explanation:

i hope you will get the answer

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

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Answers

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_____

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Answers

Given diameter is 32, radius would be 16 bc radius is always half of diameter, and circumference would be 2(pi)*radius, which would be 100.5309649.... and area is (pi)*radius^2 which would be 804.2477193........

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Step-by-step explanation:

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Step-by-step explanation:

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