Let X, Y, Z be (respectively) the number of nights that Alice, Bob, and Charlotte eat in

Question:

Let X, Y, Z be (respectively) the number of nights that Alice, Bob, and Charlotte eat in the dining hall during a 7-day week. Assume that X, Y, Z are independent Binomial random variables that each have n = 7 and p = 0.65.
a. What is the of X + Y + Z, i.e., the total number of meals eaten by these three people (altogether) during a week?
b. Find Var(X + Y + Z).
Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...