Probability Distributions, Frequency Tables, and Relative Frequencies
Explore the concepts of probability distributions, frequency tables, and relative frequencies through examples like finding relative frequencies in a music preference survey and calculating probabilities in experimental scenarios involving coins and spinners.
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Presentation Transcript
13-2 Probability Distributions and Frequency Tables
Frequency Table: a data display that shows how often an item appears in a category Relative Frequency: the ratio of the frequency of the category to the total frequency
Problem 1: Finding Relative Frequencies The results of a survey of students music preferences are organized in the frequency table. What is the relative frequency of preference for rock music? Type of Music Preferred Frequency Rock 10 Hip Hop 7 Country 8 Classical 5 Alternative 6 Other 4
What is the relative frequency of preference for Classical? Country? Type of Music Preferred Frequency Rock 10 Hip Hop 7 Country 8 Classical 5 Alternative 6 Other 4
Problem 2: Calculating Probability by using Relative Frequencies A student conducts a probability experiment by tossing 3 coins one after another. Using the results shown, what is the probability that exactly two heads will occur in the next three tosses?
A student conducts a probability experiment by spinning the spinner shown. Using the results in the frequency table, what is the probability of the spinner pointing at 4 on the next spin?
Probability Distribution: shows the probability of each possible outcome Can be shown using a frequency table
Problem 3: Finding Probability Distribution
