r = Cov(X,Y)/(sd(X) * sd(Y))
Cov(X,Y) = E(XY) - E(X)E(Y)
= k^2/4 - k/3 * 2k/3 = k^2/36
sd(X) = sqrt(E(X^2) - (E(X))^2) = sqrt( k^2/6 - k^2/9) = k/sqrt(18)
sd(Y) = sqrt(k^2/2 - 4k^2/9) = k/sqrt(18)
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PLEASE HELPPPPP thank you!! r te joint probabilthy denokty Aunchan: de 2 2 For šome pesihve,...
Please answer question 2. Thank you [1] The joint probability density function of two continuous random variables X and Y is fxx(x, y) = {6. c, Osy s 2.y = x < 4-y otherwise Find the value of c and the correlation of X and Y. [2] Consider the same two random variables X and Y in problem [1] with the same joint probability density function. Find the mean value of Y when X<l.
Please answer all parts of the question. Thank you [1] The joint probability density function of two continuous random variables X and Y is fx,x(x,y) = {6. sc, 0 Sy s 2.y = x < 4-y otherwise Find the value of c and the correlation of X and Y.
Please answer all parts of the question. Thank you [2] Consider the same two random variables X and Y in problem [1] with the same joint probability density function. Find the mean value of Y when X<1.
Please answer all the questions thank you 1. Use the joint probability density function to answer the questions below. 0 otherwise (a) Find the expected value of X (b) Find the expected valuc of Y (e) Find the covariance between X and Y a) Find the expected valuc of X (d) Find the correlation coefficient p(X,Y) 1. Use the joint probability density function to answer the questions below. 0 otherwise (a) Find the expected value of X (b) Find the...
please show all definitions and formulas, thanks! 2. Proportional harvesting is of the form de = -2 (1-1) - he, where h is again a positive constant. This is typical for hunting, where if the population is small, the species will be harder to catch. (a) Show that if h>r, the species always goes extinct. (b) Show that if 0 <h <r, there is a stable equilibrium population, and the species never goes extinct. How does the equilibrium depend on...
By show it means prove not solve for the if again Thank you! (a) Show that eis an integrating factor for the DE (b) Show that a general solution y y(z) of the DE (1) is given implicitly by the equation F(x, y) c where c is a constant and where F(x, y) = e-r2(y2(z"y + 2)-1 ) (a) Show that eis an integrating factor for the DE (b) Show that a general solution y y(z) of the DE (1)...
#4 please, thank you! 3. Let f : [0, 1] → R be uniformly continuous, so that for every e > 0, there exists 8 >0 such that |x – y <DE =\f(x) – f(y)] < e for every x, y € [0, 1]. The graph of f is the set Gf = {(x, f(x)) : x € [0, 1]}. Show that Gf has measure zero (9 points). 4. Let f : [0, 1] x [0, 1] → R be...
Hello, please help thank you Thermodynamics Free energy and chemical equilibrium Te equilibrium constant for the reaction N2 + O2 2 NO 20 Decreases from 1.5x 103 at 430 °C to 23 at 1000°C. From these data: a - calculate enthalpy change of this reaction; b- equilibrium constant at 1500 °C.
could you write neatly please, thank you 9. Let R be the region between the curves y=x", y=0,2 = 1, 1 = 2. Use the method of cylindrical shells to compute the volume of the solid obtained by rotating R about the y-axis.
Please give detailed steps. Thank you. 2. Consider the following joint distribution of two discrete variables X and Y: fx,y(x, y) 01 2 3 お88 Recall that the marginal distribution of X is defined as: fx(x) and the marginal distribution of Y is defined as fy(v) -xf(i) Find fx(x) and fy(y) in the support of X and Y (or in simpler terms, find 1), P(Y = 0), P(Y-1), P(Y-2) and P(Y P(X-0), P(X 3)) b. The conditional density of Y...