MAT 152 PROJECT 2 SOLUTION

MAT 152 PROJECT 2

We will use the sample data collected from statistics classes at FTCC.

Please be advised that you may use your book and notes on this project, but you may not collaborate with anyone. Getting help on a Project from any person is a violation of the Student Code of Conduct.

Write each probability as fractions in simplest form and/or round four decimal places.

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-MAT 152 PROJECT 2 PART 1 – PROBABILITY

1. Use the data set for gender and lied about your age
   1. Create a table from the data

1. Based on our sample, find the following probabilities
   1. What is the probability that a randomly chosen Statistics student has lied about their age?
   2. What is the probability that a randomly selected Statistics student has lied about their age given that the student is a female?
   3. What is the probability that a randomly selected Statistics student has lied about their age given that the student is a male?
   4. Determine whether the events of being female and lying about your age are independent or dependent. Explain your

-MAT 152 PROJECT 2 PART 2 – DISCRETE PROBABILITY DISTRIBUTION

1. Use the data set for number of
   1. Construct and graph the discrete probability distribution from your data

Note: You can use software (Excel, online sites, etc.) or draw them by hand using graph paper.

1. Does your discrete probability distribution fulfill the two conditions it must satisfy?
2. Find the mean, variance, and standard deviation of the distribution in part A above. Round to the nearest tenth.
3. Find the following
   1. Using the probability distribution in part A, find the probability of randomly choosing a household that does not have a pet.
   2. Using the probability distribution in part A, find the probability of randomly choosing a household that has more than 2 pets.

-MAT 152 PROJECT 2 PART 3 – BINOMIAL DISTRIBUTION

• Use the data set for the Registered Voters
  1. Find the probability that a randomly selected Statistics student is a registered
  2. Construct and graph the binomial distribution for the number of voters when 10 students are

1. Find the mean, variance and standard deviation of this binomial distribution. Round to nearest
2. If 10 Statistics students are selected at random, what is the probability that all of them are registered voters?
3. If 10 Statistics students are selected at random, what is the probability that less than 5 of them are registered voters?
4. If 10 Statistics students are selected at random, what is the probability that at least 8 of them are registered voters?

Rubric for Module 2 Project

 

Give each probability as fractions in simplest form or round to the nearest thousandth. Part I: Probability

1. 10 points
2. Find following probabilities:
   • 6 points
   • 6 points
   • 6 points
   • 6 points

Part II: Probability Distribution

1. 10 points
2. 4 points
3. 6 points
4. Find the following
   • 5 points
   • 5 points Part III: Binominal Probability
5. 5 points
6. 10 points
7. 6 points
8. 5 points
9. 5 points
10. 5 points

There will also be deductions for grammatical mistakes.