Please help answer the following questions with detailed explanations.

At The Fencing Center, 60% of the fencers use the foil as their main weapon. We randomly survey 16 fencers at The Fencing Center. We are interested in the numbers that do not use the foil as their main weapon. + Part (a) + Part (b) Part (c) Give the distribution of X. Part (d) How many fencers are expected to not use the foil as their main weapon? (Round your answer to the nearest whole number.) fencers Part (e) Find the probability that eight do not use the foil as their main weapon. (Round your answer to four decimal places.) Part (f) Based on numerical values, would you be surprised if all 16 did not use foil as their main weapon? Yes. The probability of all 16 fencers not using the foil as their main weapon is small (less than 1%) O No. The probability of all 16 fencers not using the foil as their main weapon is large (more than 10%)