Statisticschapter 3 and 4 Project: Probability

StatisticsChapter 3 and 4 Project: Probability

Choose one of theprojects to do below.

Project 1 (18 points max)

Show that you can get the mean, variance and SD of a binomial probability distribution using the method from section 4.1 as well as the formulas used in section 4.2 (Using and and the formulas we saw in section 4.2.)

**Do both methods using n = 10 and p = 0.35. Show all the work in a written report.

Project 2 (18 points max)

Do one of the Case studies on page 171 or page 221.

Project 3 (19 points max)

Do both assignments on pages 183 and 190.

Project 4 (19 points max)

Do both assignments on pages 229 and 236.

Project 5 (19 points max)

Createthree experiments that simulate a binomial, geometric and Poisson distribution. Describe each experiment and explain what makes it a binomial, geometric or Poisson distribution. Include all needed variables (and/or x) in your description of each experiment.

*Note—you are just making these up…you do not need to perform any of your experiments.

Project 6 (20 points max)

1. Pick a binomial, geometric, or Poisson experiment to actually perform. Explain why it is binomial, geometric, or Poisson.

2. Conduct your experiment at least 100 times (if possible) to get p, the probability of success, and q, the probability of failure. Explain how you did this—who in the group did what?

3. If your event already has a p and q, then you can skip #2. (Cards, coins, gambling, etc)

4. Create a probability distribution for n = 10.

5. Find 3 probabilities from your experiment: an exact value, a less than, and a greater than. You can get fancy and use ‘at most’, ‘at least’ or another phrase like that. Write down the calculator steps you used or show that you used the probability distribution.

6. Turn the above information the form of a written report or using Power Point.

Project 7 (20 points max)

The probability of getting a blackjack (an ace and a card of value 10) in a single hand using a standard deck of 52 cards is . Using your knowledge of probability from chapter 3, show how this fraction can be found. Deal 100 2-card hands (shuffling in between each hand) and see if your statistical probability is close to the theoretical probability.

Project 8: (20 points max): Design your own probability project. See me to discuss this one.