document.write( "Question 1188968: A set of 7 fair coins was tossed 259 times and the frequency of throws
\n" ); document.write( "observed were as follows:\r
\n" ); document.write( "\n" ); document.write( "Number of Heads : 0 1 2 3 4 5 6 7
\n" ); document.write( "Frequency of throws : 3 7 23 62 63 53 37 11\r
\n" ); document.write( "\n" ); document.write( "Fit a binomial distribution and find mean and standard deviation of fitted
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Algebra.Com's Answer #820323 by Boreal(15235)\"\" \"About 
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the mean is 4.073 heads
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\n" ); document.write( "np=mean, so 4.073/7=0.5819 probability
\n" ); document.write( "sd is sqrt(V)=sqrt(4.073*0.4181)=1.304
\n" ); document.write( "So it is B(h)~(7, 0.5819)
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\n" ); document.write( "0 heads 0.4181^7*259=0.58
\n" ); document.write( "1 head 7*0.4181^6*0.5819*259=5.64
\n" ); document.write( "2 heads 21*0.4181^5*0.5819^2*259=23.53
\n" ); document.write( "3: 35*0.4181^4*0.5819^3*259=54.58
\n" ); document.write( "4: 35*0.4181^3*0.5819^4*259=75.96
\n" ); document.write( "5: 21*0.4181^2*0.5819^5*259=63.43
\n" ); document.write( "6: 7*0.4181*0.5819^6*259=29.43
\n" ); document.write( "7: 0.5819^7*259=5.85\r
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