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 space d i s t r i b u t i o n space o f space g e t t i n g
t h e space n u m b e r space o f space h e a d s space i s space 2 space t o s s e s space o f space a space f a i r space c o i n.

Please provide solution to this question

Asked by Topperlearning User | 19th Nov, 2016, 04:05: AM

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 o f space h e a d s
S a m p l e space s p a c e equals left curly bracket H H comma H T comma T H comma T T right curly bracket
X space space space space space colon space 0 space space space space space 1 space space space space space space 2
P left parenthesis X right parenthesis colon 1 fourth space space space 2 over 4 space space space 1 fourth
M e a n equals sum for i of X subscript i P left parenthesis X subscript i right parenthesis equals 0.1 fourth plus 1.2 over 4 plus 2.1 fourth equals 1
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 0.1 fourth plus 1.2 over 4 plus 4.1 fourth minus 1 end root
equals fraction numerator 1 over denominator square root of 2 end fraction
C. V equals fraction numerator sigma over denominator m e a n end fraction equals fraction numerator 1 over denominator square root of 2 end fraction equals 0.707 space o r space 70.7 percent sign

Answered by  | 19th Nov, 2016, 06:05: AM

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