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Probability, Statistics, and Applications

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Khadija Sulail
Khadija Sulail 2020-1-22
关闭： Rik 2020-1-31
Perform the following experiment by writing a MATLAB program to simulate tossing a
fair coin. (You may want to use the MATLAB command
rand
or
randi
in order to
produce random outputs.) Simulate flipping the coin five times and observe the
number of heads. Then, repeat this experiment (that is, flipping the fair coin five times
and counting the number of heads) 10 times. Using the
equation
* in P
roblem
1,
determine the probability for
each of
k=0,1,2,3,4,5 heads. Based on this theoretical
result, what is the number of heads that is most probable for a single experiment? In
your 10 experiments which number of heads appeared most often? For 1000
repetitions of the experiment, what is the simulated probability of obtaining four heads
in five coin tosses? Compare your result to that obtained using the
equation
*.
(Problem
3 is an example of a Monte Carlo simulation, a computational simulation of a
random exp
eriment repeated many times to estimate the probability distribution of the
experimental outcomes. In this example, you performed the experiment 10 times and
then 1000 times. How many repetitions is “enough”? If you were performing such an
experiment in a
real
-world setting in which you did not know the theoretical
probability distribution before beginning the experiment, how might you determine
whether you have performed “enough” repetitions to uncover the true distribution?
  2 个评论
Andrew Janke
Andrew Janke 2020-1-31
You can't just post your homework questions here and expect to have people do them for you. Try working through the question yourself, and when you encounter issues, post questions about the specific problems you're having.
Rik
Rik 2020-1-31
You can find guidelines for posting homework on this forum here.
Feel free to re-open and edit your question to resolve these issues.

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