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Lesson 17.2 Two-Way Tables and Probability

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Last updated over 1 year ago
13 questions
Note from the author:
The two-way frequency table shows the numbers of small, medium, and large pizzas that a pizzeria sold for takeout and for delivery during the past week. Use the table for Problems 1–7.
The two-way frequency table shows the numbers of small, medium, and large pizzas that a pizzeria sold for takeout and for delivery during the past week. Use the table for Problems 1–7.
Cowabunga!
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Health and Fitness
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Question 1
1.

Make a two-way relative frequency table for the pizza data.

Question 2
2.

What is the probability that a pizza sold during the week was a large pizza that was delivered? Is this probability a joint relative frequency or a marginal relative frequency?

Question 3
3.

What is the probability that a pizza sold during the week was a takeout order? Is this probability a joint relative frequency or a marginal relative frequency?

Question 4
4.

What is the probability that a pizza sold during the week was a medium pizza? Is this probability a joint relative frequency or a marginal relative frequency?

Question 5
5.

What is the probability that a pizza sold during the week was not a small pizza that was a takeout order?

Question 6
6.

What is the probability that a pizza sold during the week was not a large pizza?

Question 7
7.

Why would a pizzeria want to know any of the initial information or probability calculations?

Jean manages a sporting goods store and wants to know whether the store should stock more soccer equipment. To gauge her customers’ interest in soccer, one Saturday she asks every person who enters the store whether or not they watch soccer and whether or not they play soccer. The Venn diagram shows how many people responded each way to Jean’s questions.
Question 8
8.

Make a two-way frequency table of the data.

Question 9
9.

Make a two-way relative frequency table of the data.

Question 10
10.

What is the probability that a person who visited the store on Saturday watches soccer but does not play soccer? Is this probability a joint relative frequency or a marginal relative frequency?

Question 11
11.

What is the probability that a person who visited the store on Saturday plays soccer? Is this probability a joint relative frequency or a marginal relative frequency?

Question 12
12.

What is the probability that a visitor to the store on Saturday is not someone who both watches and plays soccer?

Question 13
13.

What decisions should Jean make based on the information she has?