Intro to Stochastic Modelling
Math 4320 Homework 2 Hints
Ch 2 , Ex: 1.2 Take X as number of heads in four nickels, Y as number of heads in six dimes.
Find P (X = 2|N = 4). Its very similar question to Quiz 1 we did in class.
Ch 2 ,Pr: 1.6 Let N be the num
Intro to Stochastic Modelling
Math 4320 Homework 4 Hints
Common Instruction: Note that you can use equations to solve for limiting distribution only when P is
regular (or satisfy other theorems as done in class). So just try to show that P satises the hyp
Intro to Stochastic Modelling
Math 4320 Homework 5 Hints
Ch 5, Ex: 1.3
P r(X = k |N = n) = P r(X = k |X + Y = n) =
P r(X = k )P r(Y = n k )
P r (X + Y = n)
where X + Y P oisson( + )
Ch 5, Pr: 1.7 Take conditional probability as:
Pr(system survived k shock