can we use the pearson′s correlation and chi−square
test for hypothesis interchangably?
both test is used to find significant relationship
between two variables.
let X_1 and X_(2 ) be independent random variable
of uniform distribution . If it is known that
X_i ∼uniform (0,1) and let S = X_1 + X_2
Determine the Probability density function
from S!
the probability density function with two continous random
variable X and Y is a follows :
f(x,y) = {_(0 , x other) ^(2x + 2y , 0 < x < 1, 0 < y < 1)
determine the correlation coefficient
between X and Y!