There are a group of 50 people who are patriotic,out of which 20 believe in non-violence.2 persons are selected in random. Write the probability distribution for the selected persons who are non-violent.
MY DOUBT: Can this question be done using binomial distribution where n=2,p=2/5 and q=3/5 ?

Asked by Benjamin | 17th Jan, 2017, 01:21: PM

Expert Answer:

begin mathsize 16px style T h i s space q u e s t i o n space c a n n o t space b e space s o l v e d space u sin g space B i n o m i a l space D i s t r i b u t i o n.
I n space B i n o m i a l space d i s t r i b u t i o n comma space t r i a l s space a r e space i n d e p e n d e n t.
I n space t h i s space c a s e comma space w h e n space 2 space p e r s o n s space a r e space s e l e c t e d comma space t h a t space m e a n s space a m o n g space t h e s e space 2
1 right parenthesis space 0 space c a n space b e space n o n minus v i o l e n t
2 right parenthesis space 1 space c a n space b e space n o n minus v i o l e n t space a n d space 1 space c a n space b e space v i o l e n t
3 right parenthesis space 2 space space left parenthesis a l l right parenthesis space c a n space b e space n o n minus v i o l e n t
T h a t space m e a n s space t h e r e space a r e space 3 space p o s s i b i l i t i e s space w h e n space w e space s e l e c t space 2 space p e r s o n s space a t space r a n d o m.
P left parenthesis X equals 0 right parenthesis equals fraction numerator C presuperscript 30 subscript 2 over denominator C presuperscript 50 subscript 2 end fraction equals 87 over 245

P left parenthesis X equals 1 right parenthesis equals fraction numerator C presuperscript 20 subscript 1 space C presuperscript 30 subscript 1 over denominator C presuperscript 50 subscript 2 end fraction equals 120 over 245

P left parenthesis X equals 2 right parenthesis equals fraction numerator C presuperscript 20 subscript 2 over denominator C presuperscript 50 subscript 2 end fraction equals 38 over 245



end style

Answered by Rashmi Khot | 17th Jan, 2017, 04:07: PM