At The Fencing Center, 60% of the fencers use the foil as their main weapon. We randomly survey 25 fencers at The Fencing Center. We are interested in the numbers that do not use the foil as their main weapon.
e) Find the probability that six do not use the foil as their main weapon. (Round your answer to four decimal places.)
f) Based on numerical values, would you be surprised if all 25 did not use foil as their main weapon?

We want to perform the "experiment" 25 times, expecting 6 "failures" and 19 "successes", knowing that we have a 0.6 success probability. The binomial distribution states that this happens with probability

i.e. a 4% chance.

It would be very surprising if all 25 did not use foil as their main weapon, because we expect about 60% of fencers using it, which is more than half.

to plot points   for x just start at the origin (middle) and go to the left however many times it say(if the number is a positive) if the number is a negative then go right however many times it says if it is 0 go nowhere

now keep you pencil there and go up however many times it says on y(if it is positive) if it is negative then go down however many times it says. if it says 0 go nowhere.

you have just plotted a point! now when you finish plotting all of them connect them with a ruler

plot each point as (-3, 7), (0,4), (3,1), (8,-4)   in the parenthesis on the left of the comma is x and the right is y.