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A space f a i r space d i c e space i s space t h r o w n space o n c e. F i n d space t h e space c o e f f i c i e n t space o f space v a r i a t i o n space f o r space t h e space p r o b a b i l i t y
d i s t r i b u t i o n.

Please provide solution to this question

Asked by Topperlearning User 19th November 2016, 4:19 AM
Answered by Expert
Answer:

L e t space X space d e n o t e space t h e space n u m b e r space a p p e a r i n g space w h e n space a space d i e space i s space t h r o w n
X space space space space space colon space 1 space space space space space space space space 2 space space space space space space space space 3 space space space space space space 4 space space space space space 5 space space space space space space space space 6
P left parenthesis X right parenthesis colon 1 over 6 space space space space space 1 over 6 space space space space space 1 over 6 space space space space 1 over 6 space space space 1 over 6 space space space space space space 1 over 6
m e a n equals sum for i of X subscript i P left parenthesis X subscript i right parenthesis equals 1.1 over 6 plus 2.1 over 6 plus 3.1 over 6 plus 4.1 over 6 plus 5.1 over 6 plus 6.1 over 6 equals 3.5
sigma equals square root of sum for i of X squared subscript i P left parenthesis X subscript i right parenthesis minus m e a n squared end root
equals square root of 1 squared.1 over 6 plus 2 squared.1 over 6 plus 3 squared.1 over 6 plus 4 squared.1 over 6 plus 5 squared.1 over 6 plus 6 squared.1 over 6 minus 3.5 squared end root
equals square root of 91 over 6 minus 12.25 end root
equals square root of 15.167 minus 12.25 end root
equals square root of 2.917 end root
equals 1.708
C. V equals fraction numerator sigma over denominator m e a n end fraction equals fraction numerator 1.708 over denominator 3.5 end fraction equals 0.488 space o r space 48.8 space percent sign

Answered by Expert 19th November 2016, 6:19 AM
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