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

Consider the experiment of selecting ten Texans at random. If you are interested in determining the probabilities of selecting x males, this is a binomial probability distribution. The values of n, p, and q are 0.5035, 10 and 0.4965. The answer is letter C.

The correct answer is D.

The binominal distribution is a discrete probability distribution that uses parameters p and q to determine the likelihood of obtaining a certain number of successes in a sequence of n independent experiments. In the present example:

number of successes refers to obtaining X males out of 10 independent trials of experiments.p = probability of sucess = in the example: probability of finding a male individual = 0.4965 (according to the statistical data available)q= probability of failure = 1 - p = in the example: probability of NOT finding a male individual (1 - p= 1 - 0.4965 = 0.5035)n= number of independent experiments= in the example: nº of trials that are performed aiming to obtain a male (n=10).