Answered You can hire a professional tutor to get the answer.

# Balls are thrown one at a time and must land in one of the 6 cells with equal probability. Let Xn be the number of occupied cells after the nth

Balls are thrown one at a time and must land in one of the 6 cells with equal probability. Let Xn be the number of occupied cells after the nth throw.

a) What is the state space for Xn?

b) Give the one-step probability transition matrix for the chain {Xn, n=0, 1, 2, ...}.

c) What is the probability that exactly 3 cells will be occupied after 4 throws?