# Developing Discrete Probability Distributions Empirically & Finding Expected Values

Instructions:

question 1 of 3

### Suppose a survey was conducted across the country regarding the number of firearms that people had in their households. If the sample size was 25,000 and 17,000 households reported that they had no firearms in their home, what would be the empirical probability that a randomly selected household had no firearms in their home?

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### 2. Consider the following probability distribution (see table below) of the number of firearms in a household, constructed from a survey of 25,000 randomly selected households. Let X = the number of firearms in a household, and assume that the probability of a household having more than 6 firearms in the home is negligible. If a household is selected at random, then how many firearms would you expect them to have?

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Calculating the effects of an introduced variable, this quiz and corresponding worksheet will help you gauge your knowledge of the distributions for empirical probabilities. This quiz will test topics like how to calculate empirical probability.

## Quiz & Worksheet Goals

With this quiz you will be required to:

• Solve for empirical probability
• Find one probability given the empirical probability

## Skills Practiced

• Problem solving - use acquired knowledge to solve problems that ask you to calculate the empirical probability
• Interpreting information - verify you can read information regarding probability distributions and interpret it correctly
• Knowledge application - use your knowledge to calculate the expected value

You can gain more information on this subject with the lesson titled Developing Discrete Probability Distributions Empirically & Finding Expected Values. You can go over the lesson to gain information on how to:

• Define what empirical probabilities are
• Understand how to compile data from samples
• Describe the process to generate a probability distribution for a random variable
• Identify how to calculate the probability of each variable
• Know the method of calculating the expected value
• Appreciate the real-life use of expected values
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