Ashleigh Barty, one of the top female tennis players in the world, makes a successful first serve 53% of the time. If she serves 20 times, what is the probability that she gets exactly 5 first serves in? Assume that each serve is independent of the others.
Don't forget to identify the values of n, x, p, and q before computing. If the rate is given to you as a percent, remember to convert to decimal before using as your value for p. Use the binomial probability formula and write your answer as a decimal rounded to four places.