1. Consider n flips of a fair coin. Calculate the probability:(adsbygoogle = window.adsbygoogle || []).push({});

a. n/2 < -Total number of heads

b. 5000 > total #heads

c. n/2 < total #heads < 5n/8

d. n < total #heads.

WHERE n = 8992

2. Consider the shopping problem

Markov transition matrix

.5 | .5

-----------------

.75 - k | .25 + k

where k = 8992 divided by 20000..

Start with initial v0 = (..5,.5) and describe the behavior of the

system for many time steps.

Does your result cycle, does one state become extinct, or does it

approach a limit value?

Any help will be nice.

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# Probability of coin and markov transition matrix

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