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

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

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Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter11: Systems Of Equations

Section11.CT: Test

Problem 24CT

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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
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Is ordering a soft drink independent of ordering a square pizza?
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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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