In: Math
Bob is an amoeba that behaves as follows: at the end of any given
minute, Bob either splits into two identical and independent copies
of himself, stays the same without splitting, or dies; all three of
these happen with equal probability. All subsequent Bobs behave
identically and independently to the original Bob. If there is only
1 Bob at the start, find the expected number of Bobs after 2
minutes