Identify the distribution and provide symbolic answers or Excel expression. Ther
ID: 3340756 • Letter: I
Question
Identify the distribution and provide symbolic answers or Excel expression.
There is a question of the effect of race. Researchers from University of Texas are conducting a study in a southern Texas county college, where the student population is 42% Hispanic, 27% black, and 31% white. If each student is equally likely to volunteer, what is the probability that the group of 73 volunteers includes 33 Hispanics, 18 blacks, and 22 whites? [Assume population sizes are large enough that the probabilities can be considered constant. Generalize from the Binomial Distribution.]
Explanation / Answer
This is extended version of binomial distribution
P(X = x) = nCx * px * (1-p)n-x
Probability = 73C33 * 0.4233 * 40C18 * 0.2718 * 0.3122
= 0.0099