Chapter 15.9, Problem 11P

Suppose 520 people each have a shuffled deck of cards and draw one card from the deck. What is the probability that exactly 13 of the 520 cards will be aces of spades? Write the binomial formula and approximate it. Which is best, the normal or the Poisson approximation? Although you only need values at one $x$ to answer the question, you might like to computer plot on the same axes graphs of the three distributions for the given $n$ and $p$.