The following is a program to calculate the mean of a signal called x by means of a histogram called H.

Explain the operation of each of the four for-loops. Comment on why the histogram method might be a fast method on computers.

#include

#includ e

in t main ( void ) {

in t x[ 10000 ] ;

in t H[ 1 0 1 ] ;

in t N = 10000;

in t M = 101;

in t i ;

flo at sum= 0 ;

flo at mean ;

for ( i = 0 ; i

}

for ( i = 0 ; i

x[ i ] = rand ( )% 101 ;

}

for ( i = 0 ; i

}

for ( i = 0 ; i

sum = sum+ i *H[ i ] ;

}

mean = sum/N ;

p r i n t f ( Mean=% f \ n , mean ) ;

re t ur n 0;

}