Answer the following questions:

a. let x and y be independent normal random variables, each with mean μ and standard deviation σ. consider the random quantities x + y and x − y . find the moment generating function of x + y and the moment generating function of x − y .

b. refer to part (b). find now the joint moment generating function of (x + y, x − y ).

c. are x + y and x − y independent? explain your answer using moment generating functions.

what "following statement"?

step-by-step explanation:

answer is 33

step-by-step explanation:

this is the formula: v = the value of investment at the end of the time period

p = the principal amount (the initial amount invested)

r = the annual interest rate

n = the annual frequency of compounding (how many times a year interest is added)

t = the number of years the money is invested

^ means raise to the power of

yes

step-by-step explanation:

so of course you want to start by plugging the 5 in which goes to 7(5)+3(5)=50 because 7*5=35 and 3*5=15 and then add them together, then plug in the 5 to the other equation as well 9(5)+5=50 because 9*5= 45 and then add 5 and so yes they are equivalent.