The joint p.d.f. of the random variables x and y is given by I fzy (x, y) = {! in the shaded area otherwise Let z = x+y. Find F₂(z) and f(z). I 1 X

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A: Given that, the integral is ∫ex5dx. ∫ex5dx=∫ex15dx=∫ex·15dx=∫ex5dx Let u=x5 then, dudx=15du5=dx

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A: To find the integral of  tan−1(y) with respect to y, we use integration by parts.  Let: u=tan−1(y)…

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Q: Let R = Z36. Finda. N(<0>). b. N(<4>). c. N(<6>).

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Q: 6. How many minutes does it take to go 50 miles at a constant speed of 20 miles per hour?

A: we have to apply time ,sp

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A:

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A: Given data, x=46 n=96 p=0.4792 z-value at 99.5% confidence is Zc=2.807

Q: 11. Find X. (G.8A-S)

A: The triangle proportionality theorem states that the line that is parallel to one side of the…