6. Create a probability distribution for a coin flipping game. That is, toss a coin at least 25 times and keep up with the number of heads and the number of tails. a. Compile your data into a probability distribution. Be sure to show that your distribution meets the properties for a probability distribution. b. Use a bar graph to graph the distribution. c. Explain the random variables for your data. d. Did the values come out as you would expect? Explain what you would expect to happen with the outcome of the game versus the actual expected value of your distribution.

MATLAB: An Introduction with Applications
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6. Create a probability distribution for a coin flipping game. That is, tossa coin at least 25 times and keep up with the
number of heads and the number of tails.
a. Compile your data into a probability distribution. Be sure to show that your distribution meets the properties for a
probability distribution.
b. Use a bar graph to graph the distribution.
c. Explain the random variables for your data.
d. Did the values come out as you would expect? Explain what you would expect to happen with the outcome of the
game versus the actual expected value of your distribution.
7. Use your example from question 6 to set up a binomial distribution. Find the probability based on your data that if the
coin is flipped 25 times, what is the probability that a heads would appear 10 times or less.
8. The following information has been given that shows the highest level of education received by employees of a
company.
Ph.D.
Master's
Bachelor's
Associate
# Employees
8
21
33
18
High School Diploma 7
Other
2
Answer the following questions based on the data in the table:
a. Find the probability an employee chosen at random has a Ph.D.
b. Find the probability an employee chosen at random has an Associate degree.
c. Find the probability an employee chosen at random does not have a Ph.D.
d. Are the events independent? Explain.
Transcribed Image Text:6. Create a probability distribution for a coin flipping game. That is, tossa coin at least 25 times and keep up with the number of heads and the number of tails. a. Compile your data into a probability distribution. Be sure to show that your distribution meets the properties for a probability distribution. b. Use a bar graph to graph the distribution. c. Explain the random variables for your data. d. Did the values come out as you would expect? Explain what you would expect to happen with the outcome of the game versus the actual expected value of your distribution. 7. Use your example from question 6 to set up a binomial distribution. Find the probability based on your data that if the coin is flipped 25 times, what is the probability that a heads would appear 10 times or less. 8. The following information has been given that shows the highest level of education received by employees of a company. Ph.D. Master's Bachelor's Associate # Employees 8 21 33 18 High School Diploma 7 Other 2 Answer the following questions based on the data in the table: a. Find the probability an employee chosen at random has a Ph.D. b. Find the probability an employee chosen at random has an Associate degree. c. Find the probability an employee chosen at random does not have a Ph.D. d. Are the events independent? Explain.
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