A.. For the two sequences S 0 and S 1 that are used in producing Table 4.1: a. Estimate the eight probabilities P ( S 0 = i ) and P ( S 1 = j ) for i , j = A , G , C , T . b. For each pair i , j , are...

a. Estimate the eight probabilities
P(S0 =
i
) and
P(S1 =
j
) for
i
,

j
=
A
,

G
,
C
,

T
.

b. For each pair
i
,

j
, are the events
S0 =
i
and
S1 =
j
independent?

c. Why does the fact that one sequence is descended from another help explain your answer to part (b)?

B. Two DNA sequences of the same length are chosen and labeled
S0 and
S1, but there is no ancestral relationship between the two.

a. Why would you expect that for each pair
i
,

j
the events
S0 =
i
and
S1 =
j
would be independent?

b. If the events
S0 =
i
and
S1 =
j
are independent, what would be the pattern in the entries in a table like Table 4.2?