#!/bin/ksh
# i made up the checksum value :)  i'm using md5 - you can use cksum or whatever
mychecksum="2d786401096622f33b2cbed35c1bee39"  
file_to_execute=$(find / -type f  -user root -name install_file)
thischecksum=$(md5 $file_to_execute)

if [[ "$thischecksum" = "$mychecksum" ]] ; then
   $file_to_execute parm1 parm2 
else
   echo "no valid file found"
fi