# PROBABILITY

## PROBABILITY

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

PART 1 – PROBABILITY

I. Use the data set for gender and lied about your age

A. Create a table from the data collected.

B. 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 reasoning.

PART 2 – DISCRETE PROBABILITY DISTRIBUTION

II. Use the data set for number of pets.

A. Construct and graph the discrete probability distribution from your data set.

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

graph paper.

B. Does your discrete probability distribution fulfill the two conditions it must satisfy?

Explain.

C. Find the mean, variance, and standard deviation of the distribution in part A above.

Round to the nearest tenth.

D. Find the following probabilities.

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.

PART 3 – BINOMIAL DISTRIBUTION

III. Use the data set for the Registered Voters

A. Find the probability that a randomly selected Statistics student is a registered voter.

B. Construct and graph the binomial distribution for the number of voters when 10 students

are selected.

C. Find the mean, variance and standard deviation of this binomial distribution. Round to

nearest tenth.

D. If 10 Statistics students are selected at random, what is the probability that all of them

are registered voters?

E. If 10 Statistics students are selected at random, what is the probability that less than 5

of them are registered voters?

F. 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

A) 10 points

B) Find following probabilities:

1) 6 points

2) 6 points

3) 6 points

4) 6 points

Part II: Probability Distribution

A) 10 points

B) 4 points

C) 6 points

D) Find the following probabilities.

1) 5 points

2) 5 points

Part III: Binominal Probability

A)5 points

B) 10 points

C) 6 points

D) 5 points

E) 5 points

F) 5 points