The amount of hamburgers (X) and hotdogs (Y) in pounds that a man eats at a picnic is given by the following distribution:
f(x,y)=2x2+y2 for 0<x<1 and 0<y<1f(x,y)=2x2+y2 for 0<x<1 and 0<y<1
What is the expected amount of hamburger the man will eat?
Note x and y are squared
final
answer = 2/3
The amount of hamburgers (X) and hotdogs (Y) in pounds that a man eats at a...
The amount of hamburgers (X) and hotdogs (Y) in pounds that a teenager eats at a picnic is given by the following distribution: f(x,y)=6/5x2+9/5y2 for 0<x<1 and 0<y<1f(x,y)=6/5x2+9/5y2 for 0<x<1 and 0<y<1 note x and y and raised to power 2 What is the probability that the teen eats more than 1 pound of meat?
General Equilibrium: Consider an economy that can produce tacos (X) and hamburgers (Y). Let the production possibilities frontier (PPF) be Y2 = 100-4X2 (Eq. 1) or, equivalently ? = √100 − 4?2 (Eq. 2) (for positive values of tacos and hamburgers). This means that the rate of product transformation (RPT), the number of hamburgers that must be given up to get one more taco along the PPF, is − ??/?? = 4?/(√100−4?2) a. Suppose initially that the price of X...
(1 point) If the joint density function of X and Y is f(x, y) = c(22 - y2)e- with OS: < oo and I y I, find each of the following. (a) The conditional probability density of X given Y = y >0. Conditional density fxy(:, y) = (Enter your answer as a function of I, with y as a parameter.) (b) The conditional probability distribution of Y given X = 2. Conditional distribution Fyx (2) = (Enter your answer...
Q5. Suppose the joint pdf of X, Y is given by f(x, y) zy/3 if 0 s S1 and 0 sy< 2 and f(x,y) elsewhere. a. Compute P(X+Y2 1). b. What is the probability that (X, Y) E A where A is the region bounded above by the parabola y 2 c. What is the probability that both X, Y exceeding 0.5? d. What is the probability X will take on values that are at least 0.2 units less than...
14. Random variables X and Y have a density function f(x, y). Find the indicated expected value. f(x, y) = (xy + y2) 0<x< 1,0 <y<1 0 Elsewhere {$(wyty E(x2y) = 15. The means, standard deviations, and covariance for random variables X, Y. and Z are given below. LIX = 3. HY = 5. Az = 7 Ox= 1, = 3, oz = 4 cov(X,Y) = 1, cov (X, Z) = 3, and cov (Y,Z) = -3 T = X-2...
5 and 6 please
5) Given the surface f(x, y, z) = 0 or z = f(x,y), find the tangent plane at P. a) z2 – 2x2 – 2y2 = 12 @ P=(1,-1,4) b) f(x,y) = 2x - 3xy3 @ 12,-1) c) f(x,y) = sin(x) @ (3,5) 6) Find an equation of the tangent plane and the equation of the normal line to surface f(x..zb=0 @P x2 + y2 + z2 = 9 P = (2,2,1)
Function f(x, y) 2x2-3x +5y - y2 is going to be represented by T3 basis functions over AABC. Calculate the values of the degrees of freedom Ci in the linear combination that represents f(x,y): f(x, y)- CiN(x, y) T3 finite element is defined over ΔABC (in physical coordinates). The vertices of this triangle have the following coordinates: A(-2,-1), B(3,2), and C(0, 6) Problem 1
Function f(x, y) 2x2-3x +5y - y2 is going to be represented by T3 basis functions...
The amount of bread (in hundreds pounds) x that a certain bakery is able to sell in a day is found to be a numerical value random phenomenon with probabilitydensity f(x) given byf(x)=kx for 0<=x,5=k(10-x) for 5<=x<10=0 else whereSo, find k and hence find the probability that the number of pounds of bread that will be sold tomorrow is
All of 10 questions, please.
1. Find and classify all the critical points of the function. f(x,y) - x2(y - 2) - y2 » 2. Evaluate the integral. 3. Determine the volume of the solid that is inside the cylinder x2 + y2- 16 below z-2x2 + 2y2 and above the xy - plane. 4. Determine the surface area of the portion of 2x + 3y + 6z - 9 that is in the 1st octant. » 5. Evaluate JSxz...