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?
The amount of hamburgers (X) and hotdogs (Y) in pounds that a teenager eats at a...
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
The joint pdf of X and Y is f(x,y)= { (1 + xy2) 0 < x < y < 1 otherwise. 0 Find E(X Y = y) 5y2 6 543 27 y2 + + cola 2 3y+2y4 3(73+2)
Let the random variables X and Y have the following joint probability density function. f (x, y) = 6(y − x), 0 < x < y < 1 If the marginal distributions are: f(x) = 3(x − 1)2, 0 < x < 1f(y) = 3y2, 0 < y < 1 Find the correlation of X and Y .
Question 9 (1 mark) Attempt 1 A regression analysis between weight ( y in pounds) and height ( x in inches) resulted in the following least squares line: y = 128+6x. This implies that if the height is increased by 1 inch, the weight on average is expected to: A increase by 1 pound B decrease by 1 pound O C decrease by 6 pounds O D increase by 6 pounds
(1 point) Consider the function defined by
?(?,?)=??(9?2+5?2)?2+?2F(x,y)=xy(9x2+5y2)x2+y2
except at (?,?)=(0,0)(x,y)=(0,0) where ?(0,0)=0F(0,0)=0.
Then we have
∂∂?∂?∂?(0,0)=∂∂y∂F∂x(0,0)=
∂∂?∂?∂?(0,0)=∂∂x∂F∂y(0,0)=
Note that the answers are different. The existence and continuity
of all second partials in a region around a point guarantees the
equality of the two mixed second derivatives at the point. In the
above case, continuity fails at (0,0)(0,0).
(1 point) Consider the function defined by F(x, y) = xy(9x2 + 5y2) x2 + y2 except at (x, y) = (0,0)...
Let the joint probability density function of X and Y be defined by f( x, y ) = (x+4y)/9 , 0 < y < 1, y < x < 3, zero otherwise. Find the probability distribution of U = X/ Y.
# 6 If two random variables have the joint density f(x, y)=59 y?) for 0<x<1, 0<y<1 0 elsewhere a. Find the probability that 0.2 X<0.5 and 0.4<Y<0.6. b. Find the probability distribution function F(x, y). c. Are x and y independent?
QUESTION 8 Write the function in the form y = f(u) and u = g(x). Then find dy/dx as a function of x. 6 y = 8 X O y = 542 10x16 6 u +878 - u; u = x8, causing O y = u8; u = 5x2.-x -f10x -1) Oy= u®; u = 5x2.6 x = 0(532-60) y = 48: u = 5x2.5 - X 5x2 x dx QUESTION 9 Given y = f(u) and u = g(x),...
The joint probability distribution of the random variables X and Y is: х 0 1 N у 0 1/18 1/9 1/6 1/9 1/18 179 2. 1/6 1/6 1718 Find f(xl y=1)