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Question 1. Determine the value of c that makes fXY(x, y) = c(x + y) a valid joint PDF over the range of 0 < x < 2, 0 < y < 2.
Question 2. Given a joint PDF fXY(x, y) = 10e-2x-3y over the range 0 < y < x < ∞,
1) [True or False] fx(x) = 10∫0xe-2x-3y dy
Write the correct integral to calculate fx(x) if you think it is False:
2) [True or False] P(X < 2, Y < 1) = 10 ∫01∫02e-2x-3ydx dy
Write the correct integral to calculate P(X < 2, Y < 1) if you think it is False:
3) Verify that the given joint PDF is a valid.
Question 3. Given joint PMF of X and Y are given as follows. Determine the marginal PMF of Y.
Y
FXY(x, y)
0
0.5
0.25
1
Verified Expert
This task provides a clear working example of hypothesis testing procedures, One sample Z test, one sample t test, paired t test and independent sample t test was used in this study. the direction of the tail of the test (whether it is right tailed, left tailed or two tailed) was clearly explained and the changes in the critical value details was also provided
Instruction: show all the work or justification to receive full credit - Engineering Statistics - pts) Given joint PMF of X and Y are given as follows. Determine the marginal PMF of Y.
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