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Yakvenalex [24]
3 years ago
11

Determine the values of c so that the following functions represent joint probability distributions of the random variables X an

d Y : (a) f(x,y)=cxy, forx =1 ,2,3; y =1 ,2,3; (b) f(x,y)=c|x−y|, forx = −2,0,2; y = −2,3.

Mathematics
2 answers:
Xelga [282]3 years ago
8 0

Answer:

A: f(x,y)= 1/36xy;X=1,2,3; y=1,2,3

B: c=1/15

Step-by-step explanation:

Attached is the complete solving.

Anna11 [10]3 years ago
7 0

Answer:

The joint probility density will be c = 1/36

The joint probability distribution will be c = 1/15

Step-by-step explanation:

For step by step explanation see the pucture attached

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Answer:

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Step-by-step explanation:


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3 years ago
A fitness center has two membership plans. One has a low dollar sign up fee of 15 dollars and cost 38 dollars per month to join.
victus00 [196]
Let x be the number of months.
The first plan is 15 dollars sign up fee and 38 dollars per month. So the equation is 38x + 15.
The second plan is 78 dollars as sign up fee and 31 dollars per month. So the equation is 31x + 78.

We need find when x has the same value in both equations, so we do their equality:
38x + 15 = 31x + 78
Let's subtract 15 from both sides
38x + 15 = 31x + 78
38x + 15 - 15 = 31x + 78 - 15
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Now let's subtract 31x from both sides to have the variables on a side and the numbers on side:

38x = 31x + 63
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Divide both sides by 7 to have the variable x on a side and its value on the other:
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So at month 9, the 2 plans will cost the same.

Let's check our answers, and let y be the cost:
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8 0
3 years ago
The table shows the times of the top six swimmers in the women’s 100 meter butterfly at the 2012 Olympic Games. A 2-column table
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Answer:

The difference in finishing time between the 2nd and 3rd places is the shortest and it is 0.07 seconds.

Step-by-step explanation:

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So, the difference is (56.87 - 55.98) = 0.89 seconds.

The second positioned swimmer took 56.87 seconds and the third positioned swimmer took 56.94 seconds to complete the race.

So, the difference is (56.94 - 56.87) = 0.07 seconds.

The third positioned swimmer took 56.94 seconds and the fourth positioned swimmer took 57.17 seconds to complete the race.

So, the difference is (57.17 - 56.94) = 0.23 seconds.

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So, the difference is (57.27 - 57.17) = 0.10 seconds.

The fifth positioned swimmer took 57.27 seconds and the sixth positioned swimmer took 57.35 seconds to complete the race.

So, the difference is (57.27 - 57.35) = 0.08 seconds.

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Step-by-step explanation:

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