2.Assume that each week, on average, 50 million lottery tickets
are sold. What are the chances in any single week that someone wins
the jackpot?
3.On average, how often will there be a winner?
4.Now, let’s say I have a time machine and I randomly send you
hundreds of years into the future. Because of the
vagaries of interdimensional quantum mechanics the machine is
unable to tell you ‘when’ it is, however, it does keep track of
each powerball jackpot that was won during its most recent trip.
You immediately ask the first person you see what year it is and
she responds, “It is year 342 since our merciful overlord Ultron
first ascended to the throne.†This sets off several alarm bells in
your head, but doesn’t help at all in determining ‘when’ you are.
You think for a moment and you suddenly remember Dr. Terry’s
Molecular Evolution class. After mouthing a quick thank you to your
wise and benevolent professor (who is now long dead) you ask, “Do
you still have the powerball lottery?†This future woman looks at
you like you’re insane and then says, “Of course, the jackpot is up
to $500 trillion this week.†You sprint back to your time machine
and see that the powerball jackpot counter is at 2759. How far into
the future did you go?
5.What could mess up this estimation of the date?
6. How often do new mutations arise?
7.What is the probability that a mutation becomes fixed in the
population?
8.What is the substitution rate for two populations diverged
from a single ancestral population?(substitution rate is defined as
the total number of new mutations that become fixed in a
population)
