Answer:
red,because The probability of choosing red is 5/12 but this probability for purple and blue is 2/12=1/6,and also for green marbles is 3/12=1/4
5/12>3/12>2/12
The matrix
has eigenvalues 
such that
for all values of 
, so we need to have 
in order for to be real-valued. This happens for
where 
is any integer, and over the given interval we have 
and 
.
Let success be that a plant dies in the winter and failure be that a plant survives the winter, then
p = 0.05, q = 1 - 0.05 = 0.95
a.) P(1 or more will not survive the winter) = 1 - P(all will survive the winter) = 1 - P(0) = 1 - 10C0 (0.05)^0 (0.95)^10 = 1 - 1(1)(0.5987) = 0.4013
b.) P(all will survive) = P(none will die) = P(0) = 0.5987
