Let the random variables x and y have joint pdf as follows: f x( , y c ) , = + x y 0 < < x y < < 1 2 , 0 1 a. find the value of constant c. b. find the marginal densities of x and y. c. are the random variables x and y independent? d. find the conditional pdf ’s ( | ) 1f x y and ( | ). 2f y x e. find e x( ) and e y( ). f. find var x( ) and

The swimming pool is open when the high temperature is higher than 20∘c. lainey tried to swim on monday and thursday (which was 33 days later). the pool was open on monday, but it was closed on thursday. the high temperature was 30 ∘c on monday, but decreased at a constant rate in the next 33 days. write an inequality to determine the rate of temperature decrease in degrees celsius per day, d, from monday to thursday.

Moira has a canvas that is 8 inches by 10 inches. she wants to paint a line diagonally from the top left corner to the bottom right corner. approximately how long will the diagonal line be?

Madeline takes her family on a boat ride. going through york canal, she drives 6 miles in 10 minutes. later on as she crosses stover lake, she drives 30 minutes at the same average speed. which statement about the distances is true?