ExamSavedHelpSave & ExitSubmitSuppose 42 percent of the customers at Pizza Palooza order a square pizza, 80 percent order a soft drink, and 32 percent order botha square pizza and a soft drink.Is ordering a soft drink independent of ordering a square pizza?O YesO No< Prev15 of 19Next >er

Name: ExamSavedHelpSave & ExitSubmitSuppose 42 percent of the customers at
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Description: ExamSavedHelpSave & ExitSubmitSuppose 42 percent of the customers at Pizza Palooza order a square pizza, 80 percent order a soft drink, and 32 percent order botha square pizza and a soft drink.Is ordering a soft drink independent of ordering a squar

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Suppose 42 percent of the customers at Pizza Palooza order a square pizza, 80 percent order a soft drink, and 32 percent order both
a square pizza and a soft drink.
Is ordering a soft drink independent of ordering a square pizza?
O Yes
O No
< Prev
15 of 19
Next >
er

Expert Solution

Step 1

let us consider A : customers at pizza palooza order and B: order of the soft drink

Given information ;

P( A )= 0.42

P( B)=0.8

And for both orders

$P (A \cap B) = 0.32 w e w a n t s t o c k e c k t h a t b o t h e v e n t s a r e i n d e p e n d e n t . E v e n t s A a n d B a r e i n d e p e n d e n t i f t h e e q u a t i o n P (A \cap B) = P (A) \cdot P (B) h e n c e P (A) \cdot P (B) = 0.8 \times 0.42 = 0.336 a n d P (A \cap B) = 0.32 w h i c h m e a n s t h a t P (A \cap B) \neq P (A) \cdot P (B)$

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