The joint probability density function of two random variables X1 and X2 is given by f(x1, x2) = { 8, 0 < x1 < x2 < 1
0, elsewhere
Let S = X1/x2 and V = x2 , using the change of variable technique find the joint probability density function of S and V
You are asked to find the mean and variance of a random variable Y whose distribution has probability generating function is
qr /1 − (1 − q)r. 0 < q < 1
Let S be a subset of F3 defined as S = {(x, y, z) € F3 = x +y + 2x – 1=0}. Then determine S is a subspace of F3 or not.
Suppose that X and Y have bivariate normal distribution with the probability density function f(x1, x2) = k exp − (8X^2 − 6XY − 18Y^2 ) Find (a) Pr(X + Y > 1/2) (b) the joint moment generating function of Z1 = 2X − XY and Z2 = 3X + 2Y
The bond energy of F2 is unusually low, in comparison with the other halogens, due to the small size of the fluorine atom. Which of the following periodic properties is also unusually low in the case of fluorine?
Let X,Y be a random sample from the distribution
f(x) = 1 0 < x < 1
Further let Y = max(X,Y). Using the distribution function technique,
find the probability density function of Y. Hence find its mean and variance values.
Let X1, X2 have joint probability density function
f(x1, x2) = {
1/8e
−(8x1+x2)
, x1,x2>0
0, elsewhere
Find the probability density function of Y =1/2 (X1 + X2).
how can the Rostow's stages of development be applied the context of South Africa
How can the Rostow's stages of growth be applied in the South African context
Suppose the random variable Y has a normal distribution with an expected value equal to 12 and variance equal to 16. What is the value of k such as that P(X<k)= 0.25