According to the 2000 U.S. Census Bureau, 49.65% of Texas residents were male. Consider the experiment of selecting ten Texans at random. If you are interested in determining the probabilities of selecting x males, is this a binomial probability distribution? And if so, what are the values of n, p, and q?

This is a binomial setting: there are 10 fixed selections, each person is either male or not male, and the probability of selecting a male is treated as constant for each selection. Thus n = 10, p = 0.4965, and q = 1 − p = 0.5035. The correct choice is “Yes; n = 10, p = 0.4965, q = 0.5035.”

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