Order Your Paper From the most reliable Essay writing Service. 

.

 


Coupon collector’s problem. We are interested now in the time it takes to collect a set of N…

Coupon collector’s problem. We are interested now in the time it takes to collect a set of N baseball cards. Let Tk be the number of cards we have to buy before we have k that are distinct. Clearly, T1 = 1. A little more thought reveals that if each time we get a card chosen at random from all N possibilities, then for k ≥ 1, Tk+1 – Tk has a geometric distribution with success probability (N – k)/N. Use this to show that the mean time to collect a set of N baseball cards is Coupon collector’s problem. We are interested now in the time it takes to collect a set of N...N logN, while the variance is

Coupon collector’s problem. We are interested now in the time it takes to collect a set of N...