Concept explainers
(a)
To check: Whether the events of getting a thick crust pizza and pizza with mushrooms independent or not.
(a)
Answer to Problem 8CRE
No the events are not independent.
Explanation of Solution
Given:
Total number of pizzas
Number of thick crust pizza
Number of regular pizza
Number of sausage in thick crust pizza
Number of pizza with mushroom in thick crust pizza
Number of sausage in regular pizza
Number of pizza with mushroom in regular pizza
Formula used:
The probability of an event
Condition for independence
If two events A and B are independent, then
Calculation:
The data given is described with the help of table below
Sausage | Mushrooms | Total | |
Thick crust | 1 | 2 | 3 |
Regular | 2 | 2 | 4 |
Total | 3 | 4 | 7 |
So,
P (thick crust pizza with mushroom)
Reading from the above table,
Number of thick crust pizza with mushroom
Therefore,
As
(b)
To check: Whether the events of getting a thick crust pizza and pizza with mushrooms independent or not.
(b)
Answer to Problem 8CRE
The events of getting a thick crust pizza and pizza with mushrooms are independent.
Explanation of Solution
Calculation:
The table can be rearranged as follows
Sausage | Mushrooms | Cheese | Total | |
Thick crust | 1 | 2 | 1 | 4 |
Regular | 2 | 2 | 0 | 4 |
Total | 3 | 4 | 1 | 8 |
So, total number of pizzas
Number of thick crust pizza
P (thick crust pizza with mushroom)
Reading from the above table,
Number of thick crust pizza with mushroom
Therefore,
As
Chapter 5 Solutions
The Practice of Statistics for AP - 4th Edition
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