Winter 2013
1.
QMM 240
Computer Assignment #2
Professor Murphy
Consider a binomial process such that 𝑛 = 5 and 𝜋 = .20. Use Excel to generate
the probability distribution and cumulative distribution for this process. Use
Excel to graph the probability distribution. Edit your graph so that it is visually
appealing. (The document “How to Generate and Graph a Binomial Probability
Distribution” on the course web page gives step-by-step instructions of how to do
this if you’re not sure.)
Cut and paste the probability distribution and cumulative distribution table and
the graph of the probability distribution into your Word document. Comment
briefly on the shape of the probability distribution shown in your graph.
Determine the expected value, variance, and standard deviation of the random
variable and report them in your word document. Briefly explain or show how
you determined these values.
Use the probability distribution or the cumulative distribution to determine the
probability that this random variable falls within one standard deviation of its
expected value. Explain or show how you determined the answer.
2.
Consider a binomial process such that 𝑛 = 30 and 𝜋 = .20. Use Excel to generate
the probability distribution and cumulative distribution for this process. Use
Excel to graph the probability distribution. Edit your graph so that it is visually
appealing.
Cut and paste the probability distribution and cumulative distribution table and
the graph of the probability distribution into your Word document. Comment on
the shape of the probability distribution shown in your graph and compare what
you see here with the graph of the probability distribution in part 1.
Determine the expected value, variance, and standard deviation of the random
variable and report them in your Word document. Briefly explain or show how
you determined these values.
What is the probability that this random variable falls within one standard
deviation of its expected value? Explain or show how you determined the answer.
3.
Consider a binomial process such that 𝑛 = 100 and 𝜋 = .20. Use Excel to
generate the probability distribution and cumulative distribution for this process.
Use Excel to graph the probability distribution. Edit your graph so that it is
visually appealing.
Cut and paste only the graph of this probability distribution into your Word
document (the PDF and CDF will be too long to be worth reporting in your
paper). Comment on the shape of the probability distribution shown in your
graph and compare what you see here with the two previous probability
distribution graphs.
Determine the expected value, variance, and standard deviation of the random
variable and report them in your Word document. Briefly explain or show how
you determined these values.
What is the probability that this random variable falls within one standard
deviation of its expected value? Explain or show how you determined the answer.
4.
Write one paragraph explaining what happens to the probability distribution as 𝑛
increases.
Use Microsoft Word to write up your answer to each question. Explanations and
discussion should be grammatically correct.
DUE: A hardcopy is due at the beginning of class on Tuesday, April 9. Electronic
submissions are not acceptable.