two way frequency d2.notebook · two way frequency d2.notebook 7 january 16, 2019 21 30 years 31 40...
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Two Way Frequency d2.notebook
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January 16, 2019
Warm Up: 1. Julie applied to CSU and CU. The probability that she is accepted to CSU is 0.67. The probability that she is accepted to CU is 0.82 and the probability that she is accepted to both is 0.54. Draw a Venn Diagram to determine the following probabilities:
a) P(accepted CSU only)
b) P(accepted to CSU only or CU only)
c) P(accepted to neither college)
2. What is the difference between theoretical and experimental probability? Give an example of each.
Two Way Frequency d2.notebook
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Learning Goal: Today I will learn about frequency tables.
Success Criteria: I am able to interpret and create a two way frequency table.
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Two Way Frequency Tables
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compares data from two different categories that are related, such as gender and eye color.
each entry is called "joint frequency"
each total entry is called "marginal frequency"
Two Way Frequency Table
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What color are your eyes? Two Way Frequency Table
Eye Color
Blue Green Brown Hazel Total
Gender
Male
Female
Total
Joint Frequency Marginal Frequency
What is the probability that your eyes are blue?
What is the probability that you are a female and you have brown eyes?
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The following table compares the average annual income with the
amount of education received for a of group of 200 workers:
Two Way Frequency Table
$20,000 up to $30,000
$30,000 up to $40,000
$40,000 up to $50,000
Total
High School Graduate 38 28 14 80
Technical College Graduate
22 30 18 70
4yr.College Graduate 10 12 28 50
Total 70 70 60 200
Find the probability that a randomly selected worker is:
a. A HS or 4 yr college grad
b. Makes <$30k or is a tech college grad
c. Given that he is a HS grad, makes >$40k
d. Makes at least $30k and graduated from HS
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21 30 years
31 40 years
41 50 years
51 60 years Total
Science 2 3 4 1 10
Math 3 5 2 2 12
English 4 6 4 1 15
Social Studies 5 3 3 2 13
Total 14 17 13 6 50
The table below shows the ages of teachers by departments in a high school:
a. Find the probability that a randomly selected teacher is 41 to 50 years old?
b. Find the probability that a randomly selected teacher is a 51 60 year old Social Studies teacher?
c. Given that a teacher is 21 – 30 years old, find the probability he/she is an English teacher?
d. Given that a teacher is 31 40 years old, find the probability that he/she is a Science teacher?
Two Way Frequency Table
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Two Way Frequency Tables
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January 16, 2019
Two Way Frequency TablesWhat is the probability that a random person is a male who owns a pet?
What is the probability that a person ownsa pet given that he's male?
What is the probability that a person does not own a pet given that she's female?
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Problem Solving in Probability
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Example
A school survey of 200 students found that 80 students liked vanilla ice
cream, 95 liked chocolate, and 65 liked strawberry. 25 students liked
both strawberry and chocolate (but not vanilla), 15 liked vanilla and
strawberry (but not chocolate), 10 liked vanilla and chocolate (but not
strawberry) and 20 students liked all three flavors.
Can you use a two way frequency table to represent the data?
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Venn DiagramIf a student is chosen at random, find the probability that they like the following:
a) P(vanilla only)
b) P(none of the flavors)
c) P(vanilla and chocolate)
d) P(chocolate or strawberry)
e) P(strawberry given that they like vanilla)
f) P(not chocolate)
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A restaurant has collected data on its customers' orders. It was found that after the main course 20% of the customers had dessert only, 40% had coffee only and 30% had both coffee and dessert. Find the following probabilities:
a. P(had coffee)b. P(had neither coffee nor dessert)c. P(did not have dessert)d. P(had coffee or dessert)
Example
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Closure: Today I review problem solving methods for probability.
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ExampleYou are off to soccer and love being a goalkeeper but that depends on who is coaching. Alex coaches half the games and Sam the other half. When Alex coaches, you have a 30% chance of playing goal. With Sam your chances improve to 65%. Draw a tree diagram that shows all the possible outcomes and probabilities for each branch.
What is the probability that Alex is coaching and you won't play goal?
What is the probability that you will play goal tonight?
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