Answered: Statistics Question

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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Expert Solution

Step 1

The sales transaction data is given by :

Region	Book	DVD	Total
East	57	41	98
North	48	41	89
South	67	38	105
West	100	93	93
Total	272	213	485

Step 2

$T h e m a r g i n a l p r o b a b i l i t y o f E a s t e r n R e g i o n = \frac{T o t a l o f E a s t e r n r e g i o n}{G r a n d T o t a l} = \frac{98}{485} = 0.202$

$T h e m a r g i n a l p r o b a b i l i t y o f N o r t h e r n R e g i o n = \frac{T o t a l o f N o r t h e r n r e g i o n}{G r a n d T o t a l} = \frac{89}{485} = 0.184$

$T h e m a r g i n a l p r o b a b i l i t y o f S o u t h e r n R e g i o n = \frac{T o t a l o f S o u t h e r n r e g i o n}{G r a n d T o t a l} = \frac{105}{485} = 0.216$

$T h e m a r g i n a l p r o b a b i l i t y o f W e s t e r n R e g i o n = \frac{T o t a l o f W e s t e r n r e g i o n}{G r a n d T o t a l} = \frac{93}{485} = 0.192$