This question involves using the binomial distribution.
Let X be the number of male high school lacrosse players who will play at the college level out of the 20 selected players . We can model X as a binomial random variable with parameters n=20 and p=0.128, where p is the probability of success (i.e., a player going on to play at the college level).
The probability of exactly 4 players playing at the college level is given by the formula:
P(X=4) = (20 choose 4) * (0.128)^4 * (1-0.128)^(20-4)
Using a calculator, we can evaluate this expression to find:
P(X=4) = 0.155
Therefore, the probability that exactly four of the 20 male high school lacrosse players selected at random will end up playing at the college level is 0.155, or between C and 1 (inclusive).
Note that we rounded to three decimal places as requested .