Suppose the random variables X and Y have joint pdf as follows: f(x, y)=15xy2, 0< y < x <1 a. Find the marginal pdf f1(x) of X. b. Find the conditional pdf f2(y | x). c. FindP(Y>1/3|X=x)forany1/3

Each person in an it department of 25 people works on at least one of 3 major projects: system security, program implementation, platform development. 10 people work on system security, 13 work on program implementation, and 12 work on platform development. 4 people work on system security and platform development, 5 people work on program implementation and platform development, and 2 people work on all three projects. how many people work on system security and program implementation?

Which function has the domain x> -11? y= x+ 11 +5 y= x-11 +5 y= x+5 - 11 y= x+5 + 11

If the equation of a perpendicular bisector of a triangle is y = 2x + 7, what is the slope of the side that it is bisecting? explain how you know.