Suppose three random variables X, Y, Z have a joint distribution

PX, Y,Z(x, y,z)=PX(x)PZ∣X(z∣x)PY∣Z(y∣z).

Then X and Y are independent given Z?

a. True
b. False

Which of the following is the rational exponent expression of 6 root f

Jessica and martha each have a bag of cookies with unequal quantities. they have 30 cookies total between the two of them. each of them ate 6 cookies from their bag. the product of the number of cookies left in each bag is not more than 80. how many more cookies will jessica have martha? if x represents the number of cookies jessica started with, complete the statements below.the inequality that describes the relationship between the number of cookies each one of them has is x^2 - x +224 > = 0.jessica has at least cookies more than martha.

What is the equation of a line passing through the point (6,1) and parallel to the line whose equation 3x=2y+4