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?
a.
Yes; n = 0.4965, p =10, q = 0.5035
b.
No
c.
Yes; n = 0.5035, p = 10, q = 0.4965
d.
Yes; n = 10, p = 0.4965, q = 0.5035

Question

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?
a.
Yes; n = 0.4965, p =10, q = 0.5035
b.
No
c.
Yes; n = 0.5035, p = 10, q = 0.4965
d.
Yes; n = 10, p = 0.4965, q = 0.5035

Mercury · Answer

binomial probability distributions: n is your sample size, p is the probability of "success" (in this case, since we want to know the probability of selecting x males, p = the probability of selecting a male), q is 1 - p.