Question: Let X 1 , X 2 , ... be i.i.d. random variables with X i modeling the time in weeks between the i th and

Let X1, X2, ... be i.i.d. random variables with Xi modeling the time in weeks between the ith and (i+1)st

homicide in Miami next year. The moment generating function of X1 is given by MX(t) = 1/(1-t).

Consider the change in the waiting times given by the variables

Yi+1 = Xi+1 - Xi

What is E[Y283]?

What is Cov(Y3,Y2)?

What is the chance that it will take at least 50 weeks before we see 54 homocides in Miami?

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