At the fencing center, 60% of fencers employ the foil as their main weapon. We randomly survey 25 fencers at the fencing center. We are interested in the numbers that don't employ the foil as their main weapon.
a. How many are expected to not employ the foil as their main weapon?
b. Find the probability that six do not employ the foil as their main weapon.
c. Based upon the numerical values, would you be surprised if all 25 did not employ foild as their main weapon? Justify your answer numerically.