3.2 Complements, Intersections, and Unions

Statistics
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Sep 28th, 2015

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a. B and R are mutually exclusive

   B and N , R and N are not mutually exclusive. 


b.  B=  exclusive

  R=  exclusive

  N= not  exclusive

. BnR = mutually exclusive

  BUR = not mutually exclusive

  BnN =  not mutually exclusive

  RUN =  not mutually exclusive

B' = mutually exclusive

  (BUR)' = mutually exclusive


c. THE PROBABILITIES ARE :

. B= 4/16

   R= 4/16

  N= 8/ 16


. BnR = 0

   BUR = 8/ 16

   BnN = 2/4

   RUN = 2/4

B' = 12/16

  (BUR)' = 8/ 16


d. B and N are not mutually exclusive , because P(BnN) is not equal to 0.


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Sep 29th, 2015

6.

a. Y and I , y and J are not mutually exclusive

  I and J are not mutually exclusive.


b. YnI is not mutually exclusive

YUJ is not mutually exclusive

JnI is  not mutually exclusive

I' is not mutually exclusive

(YUJ)' is not  mutually exclusive



c. The probabilities are


Y = 1

 I = 3/4

J = 2/4


YUJ = 2/4

JnI = 2/4

I' = 1/4

(YUJ)'  2/4


Sep 29th, 2015

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