Let X and Y be independent standard normal random variables. Consider the transformation U = X + Y and V = X-Y. a. Use the theory of distributions of functions of random variables (Jacobian) to find the joint pdf of U and V. Are U and V independent? Why? What is the distribution of U and the distribution of V?
b. Use moment generating functions to answer question (a).

Jonah runs 3/5 miles on sunday and 7/10 mile on monday. he uses the model to find that he can ran a total of 1 mile . what mistake does jonah make

Kelly is a salesperson at a shoe store, where she must sell a pre-set number of pairs of shoes each month. at the end of each work day the number of pairs of shoes that she has left to sell that month is given by the equation s=300-15x , where s is the number of pair of shoes kelly still needs to sell and x is the number of days she has worked that month. what is the meaning of the number 300 in this equation

Solve this equation using substitution. {4x + y = −2} {4x + 6y = 44}