Let X and Y represents the width and length for the plot respectively and suppose that the fence he has in total of 20. He wants to at least have all the sides fenced, but don't need to use all the fences. He also found that this is a very irregular plot, the fertilizer needed by a certain area follows this joint density function of X and Y: f(x, y) = { 0 < x, y 500, 0, elsewhere a) Find the probability that the required fence for the plot is no longer than 10

Q: he x-axis and the curve y = moint (x,y) is 8(x) = 2x². 20 x²¹ 5≤x≤7, if the plate's density at a

A: The solution of step 1 is

Q: If the measurements of the length and width of a rectangle have the joint density of f(x,y) = 1/ab…

A: Given,the length and breadth is given by the pdf  - To find the mean and variance of the…

Q: Find the moments and center of mass for the thin plate covering the region between the x-axis and…

A:

Q: Let R be the triangle with vertices (0, 0), (1, 0), (1, 4). Find the average value of the function…

A:

Q: A trough with triangular cross-section lies along the x-axis for 0 ≤ x ≤ 6. The slanted sides are…

A:

Q: 1. Find the density of Y = 1- e-^X when X ~ Exp(X). Note that the density of X is (1) = { *c de-Az…

A:

Q: If f(x,y) = 160(y + 2) represents the "population density" of a planar region on Earth, where x and…

A: Population density: The region is bounded by :

Q: A farmer is planning to fence and fertilize a rectangular plot. Let X and Y represents the width and…

A:

Q: Let f(x,y) = cx2y, x2<=y<=1, -1<=x<=1 be the pdf of X and Y. Find the value of c that makes this a…

A:

Q: what is the expected value of the distance

A: Given A shape of a university campus is a square with a side length of 10 miles. we have to imagine…

Q: Find the density of Y = 1 – e-AX when X ~ Exp(1). Note that the density of de-dz if x > 0, f(x) =…

A: From the given information, fx=λe-λx, x&gt;0 Given that Y=1-e-λx. Consider,…

Q: The population density of a city is approximated by the model f(x, y) = 2000e−0.01(x2 + y2), x2 +…

A:

Q: Find the total population within the sector 2|x| < y < 8 assuming a population density of 8(x, y) =…

A: To find: The total population within the sector 2x≤y≤8. Given information: The sector is 2|x|≤y≤8…

Q: Find Mx, My, and (x, y) for the lamina of uniform density p bounded by the graphs of the equations.…

A: Find My, My, and (x, y) for the lamina of uniform density p bounded by the graphs of the equations.y…

Q: 1. Complete the following to find a density function 8. A) Suppose that the density at each point in…

A: Solution :-